I guess here's another way to apply logic to the question:

If the rules intended for us to cancel the attempt and only award one FT to A3, then why even have that be a correctable error in the first place? The outcome, according to my initial interpretation, is the same either way, so why even have the rule?

This lines highlighted in red are only a maybe...most likely...but not always.

If team A is in the bonus and A3 was involved in a part of the play that could have also been a foul, A3 may legitimately believe that they were due the FTs. In that case, there would be no T.

I would think that it means to cancle the free throw by the wrong player not the free throw in general. A3 should still get his two shots he never recieved. he already lost them once, why twice. If i'm following your thought? sometime I only make sence to myself

Agreed, Camron, though the OP made clear that the officials judged it as an intentional act to deceptively shoot the FTs in place of the appropriate player. That obviously makes it a T.

Correctable error
 

OK Five correctable errors are:

1 Failure to award FT
2 Allowing unmerited FT
3 Wrong player attempts FT
4 Attempting FT @ wrong basket
5 Erroneously counting/canceling a score

Therefore, I would have T on A1 for unsportsmanlike. A3 shoots 2 with the lane cleared for reason #3. A's basket taken off the scoreboard for reasons #1 (no second shot), 2 (A1 not the correct shooter), 3 (A1 not the correct shooter), and 5 (wrong FT shooter, should have has second shot etc.). B shoots 2 tech FTs and has ball at division line.

That sound right?

Agreed.

A2's basket counts based on 2-10-5,

That was my thought. Points scored stand but fouls unless intentional or flagrant are nulified. Another reason to take ur time when u make the first call. Get the fouler, foulee, shots, no shots, spot throw-in, comunicate to partners then report. all kinds of time once the wistle blows!

Close, the rule says the free throw and activity during it are nullified unless flagrant or intentional. A2's basket did not come during the free throw, it came after. That's why it didn't get nullified. Had A2 been fouled on the shot, this would have even been more fun.
You'd have A3 shoot his two.
A2 then gets his one free throw.
B gets to pick a shooter.
B gets the ball at the division line.

since it wasn't durring the free throw, kinda sounds like what I said

Sorry, it wasn't what I read. :) My bad.

It's all good. sometimes I don't know what I wrote.lol

Flexible language. It's great for use with coaches and wives. ;)

Reading further in 2-10-5 ............
 

Further in 2-10-05 it says: Errors because of free-throw attemps by the wrong player or at the wrong basket shall be corrected by applying 8-1 and 2.

Isn't the basket by A2 because of the wrong player attempting a free throw?

No, the basket by A2 was because of the failure to award a merited free throw. Regardless, not sure how 8-1 and 8-2 affect this, they simply lay out the rules for correctly administering a free throw.