One of the 5 way rotary positions is neck humbucker only & that still sounds good? So no reason why it can't work on the LP. Are you just going to install it with the standard LP toggle, 2 volumes, 2 tones setup (i.e. no coil tapping)?
IMO, if position 5 on the PRS rotary sounds OK to you, then you'll be fine putting those pickups in the LP.
Of course, if it was me, I'd just buy a new MM/CS set for the LP & keep the PRS as it is :lol: