I take at least my drivers door off before winching it in the trailer so I have access to the shifter. If you have glass doors why not. My Cuda has steel doors that were gutted and I always removed it as well. Easy enough to do to gain access. I think if you mostly tow locally it likely does not matter at all. However cross country stuff IMO putting it in park is a good idea. We also use chassis stabilizers on the dragster and all tube chassis cars. Shock take a beating towing as does the chassis. Dragster gets two bladders door car/truck gets one under 4 link crossmember.