My vote is yes and I keep mine covered with a breathable ADCO cover made for the trailer from camping world. I would not use a tarp with bungee cords that will make marks. My cover came with 2 detachable straps with weights sewn in so you could throw the middle straps under the trailer to secure. Straps secure UNDER the trailer, not on the sides of the TT. I guess some people are very lucky they haven't developed leaks at any penetration points or cracks in their roof membrane materials from tree branches, cracked caulking, or such. Having ice, snow, or standing water coming in the smallest penetrations cause so much damage. There are no guarantees but I think it also helps the decals and tires(purchased separately) keeping the sun/weather off them. Oh, plus I have the gutter extensions which I put tennis balls with an X cut in them that works great!!!Another great suggestion from this forum site! And because what I used to cover my extensions last year fell off, I had a hole from the wind but guess what....my left-over Eterna Bond sticks to it great and took care of it! Also used it for my covered pontoon boat(tennis balls at bimini connectors and Eterna Bond for a friction puncture). It's awesome! Oh, I'm 145lbs. and put the cover and tire covers on by myself. You just need very light to no winds when unrolling it out on the roof. The first time you might want some help.
2006 Rockwood 8272S
2005 Chevrolet Silverado
John & Pandra
1st International F.R.O.G. Rally Branson Missouri