They definitely do shove worse then Tx on that river. I'd say about 95% of the time you would win that hand and about 80% of the time you're already ahead on the flop.
Of course that being said I'm assuming you lost the hand and that's why you're posting it. There are more combinations of hands that you beat then 88/44/22 and A10 and random 2 pairs that river a boat.
Nice call and don't beat yourself up about it.