Oh well, we tried
I had tried seeing if there was some way to jump from the tops of the doors from the currently known skips, but had no luck with that either. I'm not going to say I don't think there is any way to do it, but I don't have any other ideas of anything to try. Oh well.
I have been looking into finding some way to skip the maze room to shave off about 2 minutes of the run, but haven't had any luck quite yet. Using the door into the area (before the white gates) you can kind of clip into them and launch yourself upwards to get on top of the doors which seems fairly promising in terms of progress towards finding something. I haven't successfully been able to take this any further yet, but if anyone else could possibly find something to get around this room, that would be fantastic. I will continue searching for something in this room and in the nearby rooms to see if there isn't something we haven't found yet that could speed things up, but until then, I will probably just keep trying to optimize the time to beat the 4:17 I got the other day