those are the common issues yeah, im sure there are other quirky things depending on the pedal.
2 & 3 are both related to impedance i believe. by having a low impedance signal going into the pedal, it messes with things in such a bad way that it makes my sunface unusable. it sounds like butt and doesnt clean up like im used to so i always go guitar->fuzz and it makes me happy. i havent tried the transformer fix but i havent found anything else that works so if you really want to use a wireless, its worth a try.