I obtained a BWR license at one plant.
Then, for family health reasons, I got hired into a PWR class at another plant and will be licensing in the fall.
What I will say is that if you've already achieved licensing, you've proven your ability to make it through a class. Some utilities are willing to pay a premium for this almost guaranteed license.
In other words, don't sell yourself short on the offer if you've already licensed.
YMMV.
Justin
PS If you'd like more info on how my interview/offer/etc went as a licensed person, feel free to PM me.