For what it's worth (I'm currently a finalist in the online qualifier) I utterly loathe 4p and 3p, and I know that other top players feel the same. Of course they are still skill based, but the game is so short that there is no time to do most things that might demonstrate skill, and turn order.. well, just look at the councilroom stats for turn order. I've run simulations, and with straight big money, first player wins nearly 50% of the time in 3 and 4p games (I think it might have actually been >50% for 3p).
It is a logistical problem, and that's why all serious play should be done online! This has the added advantage of enabling other features that are appropriate for competitive play, like a point counter. (This paragraph brought to you by my own personal opinions that I am well aware are not held by all community members. My primary point stands aside from this.)