Which Side of the Lane Line?

[Freddy]

Free throw is good to tie the game with five seconds to go. Time out request granted.
I, as the new trail, grab the ball and stand off the far lane line in OOB area to await the ensuing throw-in administration. No particular reason I went there instead of the near side. I just went to that side.
Teams come out and the thrower-inner says to me, "My coach drew up a play that has me doing a throw-in from the other side over there. Can we do this over there instead?"
What do I say?
A) No, I've been standing here the entire timeout. You're doing this throw-in from here.
...or...
B) It really doesn't matter, you can run the endline anyway. So here's where it's gonna be starting from right here.
...or...
C) Sure, it doesn't matter to me. Let's go over to the other side right now.
...or...
D) Other???
Anything by rule or by officials manual citation I should know?