I haven't tried it, but yeah, at small scales KSP (which is just using floating point numbers) is pretty accurate. It's at large scales where it fucks up, which it does have to deal with too, being a game about traveling between planets.
I assume it probably would work though. The Apollo computers, as I'm sure you know, weren't super complex. They basically just assisted the pilot. I'm not exactly sure what math they did, but it probably just had to do with descent rate/time to impact and stuff like that. Again, this is all just guessing. I don't remember it.