My '57 Tbirdhada removable HT and a removal rag top which was in terrible shape. I put the HT on and off a lot. Set up a rig for it in the garage.
My business partner has a Caddi Escalante' with a matching removable top. The Dealer has kept it for almost 20 years, in storage. He has never had it on the car.
If you have an easy to use ragtop the HT is kind of a dunsel.
http://en.wikipedia.org/wiki/Dunsel
That said a removable HTon the Crossie is interesting.