Correct lobby chat timestamps.
Only historic messages were timestamped in C++ prior.
Other messages showed the timestamp when they were displayed in JS, which is wrong in case of returning to the lobby from a game.
Differential Revision: https://code.wildfiregames.com/D514
Fixes #3832.
Reverts the revert of rP17928 in rP17941.
Patch By: Josh
Tested By: Itms