I always put mine in park because I know someone who had one in neutral and a tiedown came loose and it caused damage to the car.

I don't see what damage can be done, if its tied down right it won' be an issue. If its not tied down right you will be glad it was in park.

The procedure my dad and I use with an enclosed is to winch the car in, strap it down, then lastly put it in park.