Many operators have an RPM sensor. The motor must run a little until it senses that something is wrong. What is likely to happen in the scenario you described is that the top panel of the garage door will bend some, the bracket attached to the top panel will want to come off the door, and things will just be very bad.
You can wire in an interlock switch if you are handy with electrical. This is a switch with paddle that mounts on the garage door track which activates a microswitch when the paddle is pushed over by a dead-bolt style garage door lock. Here is a link, IS-2 is the one you want:
http://mmtcinc.com/interlock_switches.html
And use this 3" side lock:
http://www.re-sourceind.com/index.php?p=content_scripted/catalog_data&data=I&page=2
For a residential operator, you would have to wire in this interlock with the wall station wire in a normally closed circuit. When the lock would be engaged it would break the circuit, making the wall button non-functional. Your remote control would still work; unless you have a piggyback radio receiver you probably won't have a way around that.
Good luck.
