A decade ago I observed what I dub "Murphy's Law of Complexity Theory": whenever a new separation or collapse is discovered, the question is answered in the direction that makes $P\overset?=NP$ most challenging to determine. I do not believe this rule has failed once in the intervening years. This leads me to wonder what the implications would be if the Law were actually true.
What questions could be answered using this conjecture? Are the answers consistent, or is there some set of questions such that they can't all be answered in the way that makes proving $P\overset?=NP$ most challenging without causing inconsistencies?