I think it is dependent on TV. If TV has not hit its commercial quota, a team timeout can trigger a full commercial break. If TV stays with the game, the timeout is 30 seconds.
For televised games in the NCAA, all timeouts are 30 seconds, but the coach may ask for a full timeout once per half (Rule 3.7.b). Same applies for timeouts in overtime.
A full timeout is one minute plus 5 seconds of referee notification and the 25 second play clock before play resumes, BTW. So essentially 90 seconds. Which may be converted to a TVTO as needed,