I would say the crucial point is wether your stay is counted as security measure or not. If you do a safety landing i.e. due to weather or mechanics, you don't pay landing fee, if you are stranded by security, I would say same applies for parking. If you could have flown the plane out, either yourself or a more able airmen, I would say pay with no doubts. The trailer-it-out argument only holds for UL - I would say.