I also keep my boat at a Hi&Dri rack storage marina where fork trucks are used for haul out and launching. There seems to be no problems at all here. I guess it all depends on the boat shape and design, but I have never seen or heard of a problem. There are all kinds of boats here from cruisers, offshore boats, cats and vees, inboard or outboard with single, twin or even triple configs. Fork placement can vary from boat to boat but it is a simple procedure for any experienced fork driver. There are some idiots out there to be wary of, though.
I've been doing it for two years now without even a scratch. It all comes down to the quality of the protective material on the forks and skills of the driver.