[PG_Ref]

[QUOTE=bob jenkins;872643]1) We know when disposal starts, but I don't think we know when it ends.
2) If the team can request a TO here, why not during the same situation during a FT? I think the rule (ruling) should be consistent.[/QUOTE]

I would say using the same reasoning for allowing a time out when the official places the ball on the floor for the ROP procedure. A team is not even required to have a player out of bounds and they are still entitled to a timeout. In the free throw case, the caseplay specifically says that one is a violation.

5.8.3 SITUATION D:

A1 or A2 requests a time-out: (a) while airborne A1 is holding the ball; (b) while A1's throw-in is in flight toward A2; or (c) when the ball is on the floor at A1's disposal for a throw-in.

RULING: The request is granted in (a) and (c), but denied in (b), as there is no player control while the ball is loose between players.

I would say that after the fumble, the ball is still at A1's disposal.