Obviously, a toss can be (for practical purposes) too high.

thank you

While I don't think it is required by rule, I also say why bother. It isn't like it is the last 2 seconds.

Again, it's not the touching/catching itself that is illegal. It is fact that this action is done by the jumper during a jump ball. So it is not an illegal touch, but rather a jump ball violation. You are confusing a legal touching with the jump ball violation which it causes and thinking that the entire thing is illegal. If a player did this at any other point in the game, it would be just fine.

The touching itself is only illegal if it entails a striking with a fist or a kicking of the ball. I refer you to AP throw-in case plays for discussion of "legally touched."

PS. Tapping the ball with two hands is legal. So don't judge this on whether the catch is with one hand or two. It doesn't make any difference.
A tap or bat is legal, but a catch causes a violation.

Illegal Touch ???
 

While the ball was on the rim? Wait? It's not the touching itself that is illegal. It is fact that this action is done by the player while the ball is on the rim. So it is not an illegal touch, but rather a basket interference violation, caused by a legal touch. Or was it a legal touch? The plot thickens.

Still Confused In Connecticut ???
 

So, as the umpire, you're going to chop it in to start the clock, and then stop the clock for the violation?

Would you also chop in the clock if the jumper tapped the ball on the way up?

Instinct should have you doing this, almost. We are taught to chop on the first touch. It should take a moment to follow with the whistle for a violation, unless you were anticipating....

Instinct ...
 

Realistically, sure, I can see your point, another jump ball, same old, same old, boring, boring. But how about this situation on a written mechanics exam?