Morning all. Downloaded your updated version and ran it on the TMM.

1. No problem recognizing the hub with the SSD and thumb drive attached.
Code:
MTP_test
SDIO Storage 0 254 sdio failed or missing
SD Storage 1 10 sd1 failed or missing
sd_addFilesystem: 0 20009140 PROGM 200032bc 20009140
Program Storage 0 PROGM 983040 8192

Initializing USB MSC drives...
USB Drive Inserted
UsbBase::mscBegin called 20007640 1 1
    After usbDriveBegin

msc # Partition Table
	part,boot,bgnCHS[3],type,endCHS[3],start,length
exFAT:	1,0,0x20,0x21,0x0,0x7,0xFE,0xFF,0xFF,2048,204800000
FAT32:	2,0,0xFE,0xFF,0xFF,0xC,0xFE,0xFF,0xFF,204802048,29634560
pt_#0:	3,0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0,0
pt_#0:	4,0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0,0
  Try Partiton:1 on MSC Index:0
UsbBase::mscBegin called 20007640 0 1
    After usbDriveBegin
    ** SUCCEEDED **
>> USB partition 1 volume ID: New Volume
sd_addFilesystem: 1 20009208 MSC0-New Volume 200032b4 0
  Try Partiton:2 on MSC Index:1
UsbBase::mscBegin called 20007640 0 2
    After usbDriveBegin
    ** SUCCEEDED **
>> USB partition 2 volume ID: NEW VOLUME
sd_addFilesystem: 2 200096c0 MSC0-NEW VOLUME 200032b4 1
  Try Partiton:3 on MSC Index:2
UsbBase::mscBegin called 20007640 0 3
    After usbDriveBegin
  Try Partiton:4 on MSC Index:2
UsbBase::mscBegin called 20007640 0 4
    After usbDriveBegin
USB Drive Inserted
UsbBase::mscBegin called 20007f40 1 1
    After usbDriveBegin

msc # Partition Table
	part,boot,bgnCHS[3],type,endCHS[3],start,length
exFAT:	1,0,0x20,0x21,0x0,0x7,0xFE,0xFF,0xFF,2048,121145343
pt_#0:	2,0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0,0
pt_#0:	3,0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0,0
pt_#0:	4,0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,0,0
  Try Partiton:1 on MSC Index:2
UsbBase::mscBegin called 20007f40 0 1
    After usbDriveBegin
    ** SUCCEEDED **
sd_addFilesystem: 3 20009b78 MSC1-1 200032b4 2
  Try Partiton:2 on MSC Index:3
UsbBase::mscBegin called 20007f40 0 2
    After usbDriveBegin
  Try Partiton:3 on MSC Index:3
UsbBase::mscBegin called 20007f40 0 3
    After usbDriveBegin
  Try Partiton:4 on MSC Index:3
UsbBase::mscBegin called 20007f40 0 4
    After usbDriveBegin
sd_addFilesystem: 4 20004758 sdio 200032c8 0

**** dir of sd[0] ****

Setup done
2. Copied the T4_1 directory to the SSD 2nd volume successfully. Output shows that it read the datetime string but modified dates don't show in WinExp for the SSD:
Code:
}}}}}}}}} MSCMTPCB::usedSizeCB called 200045b0 2 1
MSCMTPCB::usedSizeCB called for Fat32
RESP:2001(RSP:OK)l: 24 T:1a : 30001 ffffffff 6
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:1b : 6 dc02 (FORMAT)
RESP:2001(RSP:OK)l: 20 T:1b : 6 dc02
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:1c : 6 dc01 (STORAGE_ID)
RESP:2001(RSP:OK)l: 20 T:1c : 6 dc01
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:1d : 6 dc07 (OBJECT NAME)
RESP:2001(RSP:OK)l: 20 T:1d : 6 dc07
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:1e : dc0b 3001 (PARENT)
RESP:2001(RSP:OK)l: 20 T:1e : dc0b 3001
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:1f : 6 dc0b (PARENT)
RESP:2001(RSP:OK)l: 20 T:1f : 6 dc0b
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:20 : 6 dc41 (PERSISTENT_UID)
RESP:2001(RSP:OK)l: 20 T:20 : 6 dc41
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:21 : 6 dc44 (NAME)
RESP:2001(RSP:OK)l: 20 T:21 : 6 dc44
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:22 : 6 dc03 (PROTECTION)
RESP:2001(RSP:OK)l: 20 T:22 : 6 dc03
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:23 : 6 dc04 (SIZE)
RESP:2001(RSP:OK)l: 20 T:23 : 6 dc04
CMD: 1008(GET_OBJECT_INFO)l: 16 T:24 : 6
RESP:2001(RSP:OK)l: 16 T:24 : 6
CMD: 1007(GET_OBJECT_HANDLES)l: 24 T:25 : 30001 0 6
RESP:2001(RSP:OK)l: 24 T:25 : 30001 0 6
CMD: 100c(SEND_OBJECT_INFO)l: 20 T:26 : 30001 6
DATA:100c(SEND_OBJECT_INFO)l: 164 T:26 : 0 3000 e2e75 3000 0
SendObjectInfo: 196609 6 20005400: 0 3000 0 e2e75 3000 0 0 0 0 0 0 0 0 0 0 : AN12253.pdf
Read DateTime string: 20210407T081045.0
>> date: 5287 2021 4 7
>> time: 4156 8 10 45
Created: 5287 4156
Read DateTime string: 20210209T232116.0
>> date: 5249 2021 2 9
>> time: baa8 23 21 16
Modified: 5249 baa8


}}}}}}}}} MSCMTPCB::usedSizeCB called 200045b0 2 1
MSCMTPCB::usedSizeCB called for Fat32
RESP:2001(RSP:OK)l: 24 T:26 : 30001 6 7
CMD: 100d(SEND_OBJECT)l: 12 T:27
MTPD::SendObject: len:929397
 # USB Packets: 1815 total: 11 avg ms: 0 max: 1
 # Write: 114 total:76 avg ms: 0 max: 1
>>>Total Time: 106699
RESP:2001(RSP:OK)l: 12 T:27
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:28 : dc44 3000 (NAME)
RESP:2001(RSP:OK)l: 20 T:28 : dc44 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:29 : 7 dc02 (FORMAT)
RESP:2001(RSP:OK)l: 20 T:29 : 7 dc02
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:2a : dc01 3000 (STORAGE_ID)
RESP:2001(RSP:OK)l: 20 T:2a : dc01 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:2b : 7 dc01 (STORAGE_ID)
RESP:2001(RSP:OK)l: 20 T:2b : 7 dc01
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:2c : dc07 3000 (OBJECT NAME)
RESP:2001(RSP:OK)l: 20 T:2c : dc07 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:2d : 7 dc07 (OBJECT NAME)
RESP:2001(RSP:OK)l: 20 T:2d : 7 dc07
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:2e : dc0b 3000 (PARENT)
RESP:2001(RSP:OK)l: 20 T:2e : dc0b 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:2f : 7 dc0b (PARENT)
RESP:2001(RSP:OK)l: 20 T:2f : 7 dc0b
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:30 : dc41 3000 (PERSISTENT_UID)
RESP:2001(RSP:OK)l: 20 T:30 : dc41 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:31 : 7 dc41 (PERSISTENT_UID)
RESP:2001(RSP:OK)l: 20 T:31 : 7 dc41
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:32 : 7 dc44 (NAME)
RESP:2001(RSP:OK)l: 20 T:32 : 7 dc44
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:33 : dc03 3000 (PROTECTION)
RESP:2001(RSP:OK)l: 20 T:33 : dc03 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:34 : 7 dc03 (PROTECTION)
RESP:2001(RSP:OK)l: 20 T:34 : 7 dc03
CMD: 9802(GET_OBJECT_PROP_DESC)l: 20 T:35 : dc04 3000 (SIZE)
RESP:2001(RSP:OK)l: 20 T:35 : dc04 3000
CMD: 9803(GET_OBJECT_PROP_VALUE)l: 20 T:36 : 7 dc04 (SIZE)
RESP:2001(RSP:OK)l: 20 T:36 : 7 dc04
CMD: 1008(GET_OBJECT_INFO)l: 16 T:37 : 7
RESP:2001(RSP:OK)l: 16 T:37 : 7
CMD: 100c(SEND_OBJECT_INFO)l: 20 T:38 : 30001 6
DATA:100c(SEND_OBJECT_INFO)l: 172 T:38 : 0 3000 11a470 3000 0
SendObjectInfo: 196609 6 20005400: 0 3000 0 11a470 3000 0 0 0 0 0 0 0 0 0 0 : aoyue-8032a.pdf
Read DateTime string: 20210407T081046.0
>> date: 5287 2021 4 7
>> time: 4157 8 10 46
Created: 5287 4157
Read DateTime string: 20181103T091507.0
>> date: 4d63 2018 11 3
>> time: 49e3 9 15 7
Modified: 4d63 49e3
3. Deleted the directory that was just created - turned TMM off and the back on and the directory was gone.

Unfortunately didn't have the SD Card attached have to do that next.