Timeout/Layup = technical foul

[MelbRef]

My partner shared a game-end snafu situation with me last night. His partners at his game all had a different opinion on how best to handle it. Thought I would share...

5 seconds left in game, Team A up by three with the ball, Team B fouls to stop the clock (no bonus). Team B coach calls timeout.

Here's where it gets interesting:

Team A player (guy who got fouled) casually dribbles to basket and takes a layup on the way to the bench for timeout.

R calls technical foul.

Then...Team B makes one of two technical free throws, gets the throw-in at halfcourt , and makes a game winning 3-point shot to win the game.

Team A coach goes ape, throws clipboard, whole 9 yards.

Would you call a technical for the layup?