Gun-mounted lights appear to be okay for coyotes, but it is unclear as to whether or not they are okay for hogs, etc.
Page 18 of the 2011-2012 GA hunting regs has the following information:
"Legal Hours for hunting are 30 minutes
before sunrise until 30 minutes after sunset,
except that alligators, raccoons, opossums,
foxes, coyotes, bobcats and feral hogs may
be hunted at night. Any light used to hunt
raccoons, opossums, foxes, bobcats or feral
hogs shall be carried on the person of a hunter,
affixed to a helmet or hat worn by a hunter,
or be part of a belt system worn by a hunter.
There is no voltage restriction on such lights."
I too have heard of game wardens saying that gun mounted lights are acceptable. However, notice that the portion specific to the type of light does not include coyotes (or alligators), but does include hogs, etc. Thus, it appears that there are NO restrictions as to the type of light to be used to hunt coyotes (or alligators), but there ARE restrictions for lights for hogs, bobcats, foxes, etc. This distinction is part of the source of the confusion.
Further it's arguable that the "belt system" mentioned might be intended to include gun mounted lights that have a battery pack shoulder strap, etc. thus a belt-system(?). However, since it doesn't specifically say "gun-mounted", one wonders. However, since I don't want to find myself in the position of trying that argument in front of a judge, we just don't use gun-mounted lights.
FYI: In Georgia, county sheriff's deputies enforce game laws about as often as do state game wardens, especially now that the state is cutting expenses. As a result of the recent rash of copper theft from irrigation equipment, sheriff's departments and Georgia State Patrol are especially attuned to watching for people shining lights in irrigated agricultural fields at night. (One night Kiz was met at a gate by sheriff's deputy and GSP as he left the field. They were sure they'd caught a copper thief, and I suspect were slightly disappointed when they found it was just the local coyote hunter!)
I believe that the main issue the GA DNR has with people hunting game at night with lights is insuring that they don't hunt with vehicle-mounted lights. (Too bad the regulations don't just come out and say that!)