Hmmm...brass (used by B+W) is not supposed to 'stick' to aluminum (used by Tiffen)! Is the B+W an perhaps it is one of the lower cost aluminum versions that apparently B+W makes for sale in the less economically blessed parts of the world (and it came into your hands to a grey market importer, and/or B+W does not make a low cost version at all and they are counterfiter manufactured)?
OP, how did you acquire the B+W, on the internet? And were prices there lower than B&H usual prices for same filter?!
As far I as know, the F Pro should be brass, and easy to separate from aluminum rings/lens barrels (of 40 years ago...does anyone use aluminum for lens barrels today?!)