I have experience long ago with a new body used with a used film back (it dd not happen with any other backs, purchased new), and it would intermittently fail to fire the shutter (no matter which lens was mounted). It turned out the problem was caused by the film-advanced interlock pin of the film back...it would (sometimes) protrude into the body too far, so the reflex mirror would not rise all the way up (sometimes), so the swinging arm at the front (lens mount) would not release the corresponding arm of the shutter-fire pin (green dot). I sent body and back to GMI Photographic (the distributor before Tamron purchased Bronica) and they adjusted the film back so the problem no longer occurred.
Failure to fire and/or delayed firing of the shutter seems to point to a problem with your setup which could be very similar to mine...the delayed firing is similar to the no-firing, except that after a brief pause the mechanism has moved sufficiently for the front shutter-activation lever in the lens mount to be delayed in its travel thru full range of motion and causes delayed shutter firing. Yes, it could also be gummy lubricants in the mechanical activation linkage of some of the lenses....have to tried releasing the swing arm on the lens (you need to press the interlock pin on the side to do that) and felt the action to detect gumminess?
I haven't investigated much, really. However, with three bodies, 5 backs, and two lenses that misfire no matter what combination of those, I'm pretty sure it's the lenses. I'd have to dig them out at this point (don't even remember where they are).