Since we can already save a limitless amount of replays by sharing them with ourselves, I imagine because we're actually just saving the instructions for recreating the shot on replay, which takes up very little memory, it would be nice to be able to set a round to share all shots, or, in other words, share/save the round.
Have it so we can bring up a Share Replays box at the beginning of the round. It would have a Send To e-mail box like the individual replay share, but instead of a description box, it would automatically title the replays by Hole and Shot number. Then, instead of separate e-mails for each shot, have all the replays sent in one e-mail with the auto-generated description above each link. Then you could copy and paste any shots you want to keep, or if it's a great round, you could keep the whole round.
This would also help keep the flow of the round going, if you don't have to worry about stopping and replaying and sharing, because you could look at any or all replays after the round is done.