That's the one thing that's really put me off from attempting LASO for Halo 2, and really by extension the rest of the series. You're going to have to save and quit a lot while doing LASO runs due to the Iron skull, which is a lot of time spent going back to the menu and relaunching the game. But the load times for H2 in particular are atrocious, presumably because of how it's having to load in the anniversary graphics too, and given its difficulty, that means a lot of time waiting, likely many times in a row for some checkpoints, making it even more of a slog.
Honestly, they should just remove Iron from the LASO playlists, or at least create separate solo-only playlists without it. I know some purists would complain, but unless they're actually doing deathless runs of each level, they don't really have any room to. Everyone works around it some way or another, whether it's save-and-quit or playing co-op. It doesn't really add much in the way of challenge, it's just tedious.