My ent, gi dr. and my cf clinic are at 3 different hospitals, my allergist is independent. ALL of my doctors send updates (including bloodwork) on my regular appointments to my cf clinic. Sometimes if they want bloodwork and they know (through me) that I will be having bloodwork at clinic, they send a note with me (if time is short) or contact clinic directly and clinic sends them my results instead of me getting poked (and pay) twice.
Nope, I don't think you should have to be the go-between, but I would keep up and make sure your doctors are aware of the other doctor's findings (aka, reading the chart updates <img src="i/expressions/face-icon-small-wink.gif" border="0"> ). And after surgery, I would EXPECT my ent to contact clinic. Good luck!