I think covering an entire antenna with tape would make a mess.
I paint most of my antennas and there are a couple of semi gloss grey colors from Rustoleum that really dull the antenna against the sky. I've done a few with shades of green, grey and black as a tree cammo and here is a before and after pic of a white fiberglass antenna that got the tree cammo. I give the antenna a base coat of the main color, green in this case then spritz some streaks and spots of black and grey. There is no known change in performance or VSWR.

Edit: Here is another cammo antenna that lives in a dense wooded area, a 43ft vertical with auto tuner at the base and a lot of ground radials. In the summer the vegetation gets really thick and its so hard to find the antenna that last time I went to service it I couldn't find it and was about to give up then discovered it was only about 6ft behind me. It really disappears in the summer brush. Before painting you could easily see the bright aluminum antenna from the house 125ft away and the orange bucket could be seen a block away.
In this case the base color was a coyote brown then I spritzed it with black and grey.
