They are also almost exclusively imported from the Baja coastal region of Mexico. The water temps are more in the 72-76°F range, then the typical 78-82°F temps we, or perhaps more importantly, the collectors and distributors keep their holding tanks at. While I'm pretty sure a week's worth of 5 degree warmer doesn't kill the fish, uncomfortable conditions that prevent this fish from eating for a week, might put the nail in the coffin.
I've lost count of the number of wire-thin BSJ's I've seen at the LFS's. They are rather active for a bottom-dwindler, and perhaps the typical tiny holding tanks play a role as well.
But if you find a healthy blue spotted jawfish, that's eating well, and you can keep your tank a little colder then normal, he should be a great fish.