I found out today that all my mini-DIN-6 to DE9 adapters aren't Logitech compatible. The Logitech version is cheap on Ebay but I am not a patient person...

This pinout works with T-CM14 and a T-CL13 trackballs so far. Cutemouse found them and registered the T-CL13's wheel and 3rd "button" automatically. Tested on an Advantech PCA-6135 "386" SBC. I couldn't find it here for Logitech.

https://www.zytrax.com/tech/pc/din.htm#din6logitech

and since the Internet is not forever:
(yes, mini-DIN pin 1 connects to DE9 4 & 6, and mini-DIN pin 3 connects to DE9 5 & 8.)

DE9 F PS2 female
1 ----- NC
2 ----- 2
3 ----- 6
4 ----- 1
5 ----- 3
6 ----- 1
7 ----- 5
8 ----- 3
9 ----- NC