Hi Bob!
You know better than I whether to trust your non-stick surfaces will release your baked goods. I would at a minimum grease it. If there is a flat bottom on your tube pan, then I use parchment paper to line the bottom. I've never had a parchment paper lined pan stick, though I have occasionally had a greased one stick.
I recently picked up a new trick, via Cook's I believe, if you are delayed in removing a cake from a pan and it is sticking. Gently heat the bottom to warm the fat causing the sticking and it will release. I advised this trick to my cousin on Christmas day and it worked.
I prefer just greasing over greasing and flouring. I found the flour left a little residue, which annoyed me. Whether you flour or not, your batter will rise as well as on your non-stick surfaces.