As best I understand it, your computer has to playback the entire game to date to understand what the current game state is, so the catch up cannot be eliminated entirely. Your computer doesn't have to show you the game while it is being played back, so some time savings are probably possible. You can get at least some of the way to this manually; type "/luaui disable" or some such, and zoom in to a corner of the map so you aren't looking at the entire battlefield.
(Possibly the above is out of date, at least theoretically; there have been advances in save/load technology over the last few years that I have not kept track of. However, you would have to get the save file from somewhere, and unless the save/load technology is very
polished trying this in a large game sounds like a recipe for desyncs.)