If memory serves me, prior reasons given by WGT involve holding up game play with the other players and not affecting the meter by adding more stuff.
The "Save Replay" feature in single play involves all the rigmarole to name the replay, scroll thru the existing list, delete an existing replay, etc....
In multi-player, all players see essentially the same screens right now. With exceptions for the player who is making a shot, and the concede putt thing.
I can see how complicated it would be to have one player saving their replay, with all the rigmarole pop-up screens and whatnots, while the multi-player game continues with the other one, two or three players.
What does seem possible to me is a different feature I'll call "Send Replay".
Using the existing "Instant Replay" feature, the player who hits the shot gets a Send Replay? button on their screen during the replay. When clicked, the link to the replay is e-mailed to the player.
How about "Send Replay" as a feature during any Multi-Player game WGT??