Wouldn't it be like a Roche limit for non-gravitational structures?

With a biological structure orbiting a black hole, eventually the part closest will be moving so fast that it'll be ripped away/apart at the macro level, then cellular, then molecular, etc etc until total annihilation.

Like pressing a finger against the ultimate rotary sander.

(Uneducated but curious, so my terminology is probably inaccurate, please be gentle.)