[deception5]

First off you are absolutely correct that you have a great hand on a king high flop if you hit a T.

As far as the ace high flop, when you are way behind, you will lose 2.5BB more (3BB total). This is nearly half the time (around 15.8%/34.5% you are against Ax/AA/TT/22 (using 2 as the x on the ATx flop)).

6.5%/34.5% You will be against KK/QQ/JJ/KTo/QTo/JTo/KTs/QTs/JTs/T9s/T8s/T9o. If the opponent will check behind on the river you'll only lose 1.5BB more (2BB total). If the opponent will value bet the river you'll lose 3BB here.

The rest of the time (11.9%/34.5%) you are against 99-33 (not including 22, the other set on the flop)/KQs/KJs/K9s/K8s/QJs/Q9s/Q8s/J9s/J8s/98s/87s/KQo/KJo/K9o/QJo/Q9o/J9o. At best you will get 1.5BB out of these hands which completely miss (and many players would check behind on the turn and fold the river with these). So you'd win 7.5BB here (2BB which you put in voluntarily, so 5.5 profit).

I think your best EV looks like:

-15.8/34.5*3
-6.5/34.5*2
+11.9/34.5*5.5

= .1475.

So it could potentially be a positive situation. But many opponents would value bet KK/QQ/JJ/Tx on the river and most would be capable of folding something like 98s/87s/J8s/J9s/J9o/Q9o/Q8s/Q9s/QJs when it didn't improve (we'll even assume he'll call a river bet after checking behind on the turn or bet the turn and check behind on the river with 99-33/any king).

-15.8/34.5*3
-6.5/34.5*3
7.1/34.5*5.5
4.8/34.5*4.5

=-.181

Still against most players it would probably be ok to call down here.