I have no experience with BRBs but it would seem that birds would be a big food source for them in nature? Whether they'd become fixated & refuse rodents thereafter, I can't say. I used to offer varied prey to some of my snakes (like bull snakes or rat snakes) & they didn't get hooked on specific types of prey, but that may not be true for your BRBs. I would think that nutritionally it would be a good thing for the snakes, & that snakes with strong appetites shouldn't become fussy about this- at least I hope not.