Yes & Yes , soft racks are not good for Sups.
Hard racks with a raised D shaped rubber like the Rola rack will put a depression across your board if you over tighten your straps , so it's a good to put it in a board bag before you strap the board down , however it is OK for the rack to have direct contact with the board if your deck grip is resting on it.
I use the the Rhino racks big tough and ugly with a padded flat top. Make sure you always use straps to tie your board down , rope and Occy straps can also damage your board , plus the Occy's often snap under load.