If the BP bothers him enough, he will most likely drop it.

I wouldn't be overly concerned if this happens. I only worry about newbies dropping limbs, which is a sign of stress.
I have a small PP that came up from molting last year, minus his BP. He got along just fine, and acted like he didn't even miss it.

He regrew it with his next molt, but it was much smaller than it should have been, and was a strange orange color. The 2nd consecutive molt, he regrew it to normal size & color.
