The last update from T-Mobile was:
SM-A102U USA (T-Mobile) 2022-04-08 Android 9 (got from a firmware site, but matches what I have installed)
Both AT&T and Verizon among others still put out a security update from last month on Android 11! (Now they are only at maybe updates every 3-6 months but it’s much better then getting none!)
I’ve considered just trying to install the AT&T version on my device but really why can’t T-Mobile just push the Samsung update? (And yes I know it’s not the newest phone, but it does everything I need and I just want security updates - it’s also the right size for me, which apparently is a premium product these days)
If a phone isn't a flagship model and it lacks sales on a carrier that carrier may think it's not worth pushing an update. I don't know how many a10e phones were sold on Tmobile but if the sales were slow that would be the reason.