So I emailed LA about it and here was their reply:
LA: In regards to your inquiry on pen-raised specimen, when a specimen is pen-raised, it is raised in a pen with natural sea water. The specimen we carry are collected with specimen containers.
Me: So please correct me if I am wrong. This is what I understand it means for
a fish to be pen-raised:
Small fish are collected in the traditional way and placed in a pen in the ocean. They are then allowed to grow in the pen before being shipped to your facility and sold.
Is this correct? Or are the fish actually born within the pen, so that the fish's life cycle is completed within the pen in the ocean?
It seems to me that if the fish are collected in the traditional way and then simply put in a pen in the ocean for a while, there isn't much difference between a "pen-raised" fish and a wild-caught fish. However, if the "pen-raised" fish are actually born within the pen, or are collected from the wild pre-settlement and then placed in a pen, I see a big difference between this method and wild-caught fish.
Please clarify this for me.
LA: The pen-raised are born in captivity and wild caught are collected from the oceans and then placed in captivity.
So according to LA, pen-raised fish are hatched in captivity. They didn't specify whether they are hatched in the pens in the ocean or hatched in aquaria and then placed in pens in the ocean so they are easy to raise. Either way, this sounds much more sustainable than catching adults from the wild.