Regarding the St. Jude pin and "Why would Q lie??". Why indeed, and I submit that even a LARP would not be that stupid, tossing such an easily verifiable image into a den of hellbent forensics detectives.
Only way it makes sense to me is if it was a demonstration and test, especially paired with NEVER let someone else DRIVE YOU.
Thing is, if Q is real, and the enemy is poring over Q's every word same as we are, we are lucky anything at all is ever directly stated. Q, if real, must inject just enough appearance of LARPiness. When Q says "these people are stupid" … they are driven by hunger for power over others, and they are not intellectually capable of grasping this. Being clever and sneaky is not the same as being wise.
Nope. (((They))) are not capable of expanding their thinking.