Amazon Commercial 90DM600 DMM appears to be a rebadged CEM DT-9560/9561 meter. This is a rugged (IP67 certified) 6,000 count meter that has Intertek/ETL safety certification and currently sells for about $30 (US):
https://www.amazon.com/AmazonCommercial-Count-Compact-Digital-Multimeter/dp/B07W3BXNMP/Chipset is DM1106EN (found on many meters from UNI-T, Victor, etc...) that stores its configuration/calibration data in a 24LC02B (2Kbit) I2C EEPROM.
Searching information about this chipset brought up multiple threads here on this forum about hacking UNI-T, etc. meters based on this same chipset.
So it would appear it is possible customize settings on this meter and possibly enable 10,000 count mode (as chipset appears to support it).
I was able to dump the EEPROM using a CH341A programmer using a SOIC8 test clip and temporarily holding CPU in reset mode by grounding R25 (end that connects to IC1 pin 55) to the PIN 1 on the Program header. Meter needs to be powered on (I used the V~ setting). No soldering needed if you have steady hands
EDIT: To be extra careful, I may be best to use "pull down" resistor (1k to 10k range) to hold CPU in reset.
NOTE! Most (if not all?) CH341A programmers have flaw that Vcc is 3.3V but the signals are 5V, so using a unit that is not fixed, might damage your DMM... (This post shows one possible fix:
https://www.eevblog.com/forum/repair/ch341a-serial-memory-programmer-power-supply-fix/msg1347050/#msg1347050)
Backup of factory settings of the meter:
0000000 ff ff ff ff ff ff ff ff ff 52 00 0e 01 e8 d4 03
0000010 10 27 38 18 4e 02 66 66 3d 3d ff 3b 0a ff 40 ff
0000020 bb 99 1b 81 fa 00 32 00 00 80 2d 8d ad 8d 95 f7
0000030 4e 02 09 04 12 09 6b f8 0a d0 1b 0a 1a 01 0a 00
0000040 00 01 00 01 00 07 98 00 64 00 64 00 64 00 c0 00
0000050 00 80 00 80 00 80 00 80 00 80 00 80 00 80 00 80
0000060 c4 7f bd 84 01 00 0c 2b 00 00 00 00 00 00 00 00
0000070 28 80 00 80 a4 83 e8 7d 0a 27 00 00 00 00 00 00
0000080 00 00 00 00 00 00 11 0f 00 13 0d 12 02 07 04 03
0000090 00 00 00 00 00 00 10 0e 00 15 0c 00 01 0a 00 00
00000a0 00 00 00 00 00 00 00 00 00 00 00 00 00 09 00 00
00000b0 00 00 00 00 00 00 00 00 00 00 00 00 00 0b 00 00
00000c0 0d 00 02 20 0d 00 03 20 20 00 03 20 20 00 03 10
00000d0 41 00 03 08 41 00 03 05 41 00 03 05 0d 00 02 20
00000e0 e2 f1 0b 80 00 80 db 7f cc 7f a6 7f 9d 7f 00 80
00000f0 00 80 00 80 00 80 00 80 5a c6 ec 0f 05 00 00 00
Comparing this to examples found in thread
https://www.eevblog.com/forum/testgear/a-look-at-the-uni-t-ut210e/ seems to point that it should be possible to "hack" this meter by by reprogramming the EEPROM.
Lot of information about modifying EEPROM for DM1106EN/DTM0660L chipsets can be found at:
https://github.com/bdlow/UT210EIt would seem like it may be possible to modify this meter to 10,000 one and possibly even enable the temperature measurements mode (to make this functionally same as the more expensive 90DM610 model...)