Big aeroplane with P1 incap is going to be a full emergency. I'd expect it to stop on the runway and get surrounded by fire engines. If the P1 is going to be ambulanced away immediately I would expect steps to be taken to aircraft and paramedics to take P1 away before getting the waiting tug to tow the offending beast off the runway and to some suitable place to deplane the pax.
Having said that, I know a few Ops people who may get a bit ancy about it stopping on the runway for a while but in my view that's just one of the things an airport has to put up with from time to time.