I'm not crazy about the lockdown, but the NBA does it, so it must be the right way to do it. Right?
In any case, if you're going to lock down, it should only apply to when the ball is live within the last shot-clock cycle of the period. (Last 24 seconds of the quarter for NBA, last 35 seconds of the half for NCAA men, last 30 seconds of the half for NCAA women.)
It makes no sense to me at all to stay locked down through a dead ball period, if a rotation is normally dictated during that dead ball (e.g., ball goes OOB on C's line).
Like mick (hey mick, we agree again!!
), I would've rotated so that the C became the new T after the throw-in and then remained locked down in that position.
JMO.