same thing

Does that include not getting off a shot at the end of a quarter because time runs out on you? I thought the other team had to get a possession for the event to be a turnover. Isn't that what turnover means - you "turned the ball over to the other team"?

Not totally sure. I think deadball rebounds may come into play.

Had to check the stats manual (NCAA):

A turnover occurs when a team, after gaining control of the ball or
having been entitled to the ball, does not produce a try for goal (field or free)
that would count if it goes in, before the opponent either gains control of the
ball, is entitled to the ball or scores a goal. (Exception: If the failure to produce a field-goal attempt is due to the expiration of time at the end of the half, game or overtime, then no turnover is charged.)

Philosophy. The purpose of a turnover is to reflect statistically the times in
which a team was given the ball and should have gotten some kind of shot but, before it could get any kind of shot, made some type of mistake that turned the ball over to the opponent. A turnover can only be charged against the offense; that is, the team with the ball. A team becomes the team with the ball when it has control (including during free throws) or is entitled to the ball for either a throw-in or a free throw.

BktBallRef agrees with you in response #6. ;)