When referring to saltwater fish tanks, technically, salinity is the more accurate measurement and thus what everyone "should" use. I'm as guilty as the next guy, I always refer to sg over salinity.
To be honest, you make a good point. When considering specific gravity vs. salinity for normal saltwater tank operation, it probably doesn't make that big of a deal. Even if you are using a test calibrated to 60F and your tank is 80F, it's only going to make a difference of about 0.002 in SG from one temperature extreme to the next, and most saltwater livestock can tolerate these differences. Stability is more important that a few 0.001 one way or another.
But in hypo, I would expect it can make a difference, since those miniscule differences make a real impact on the outcome of the treatment... hmmm...