This hypothesis appears to lack foundation. Why do you think players who work so hard to invent reasons not to switch in the three-sided MA will suddenly see their reasons evaporate when playing a two sided game? I've seen events (that were meticulously designed to be even) become woefully one sided simply because players decided to make it so.
The things that make ENY and the side switch timer a cluster are mitigated with two sides—so long as the switch time is reasonable, i.e. NOT six hours.
From this end user’s stand point three sides, long switch times, and ENY are not helping things as they exist currently.
I flew in WBs for YEARS with two sides. All this the-sky-will-fall panic about uneven sides and the like never happened.