This just appeared on the TWRA website (FAQs>Miscellaneous):

May persons possessing handgun carry permits possess their handguns while on WMAs, PHAs, or refuges open to hunter access?
Recent legislative changes provide that individuals who possess a carry permit may possess their handgun while on TWRA wildlife management areas, public hunting areas, or refuges open to hunter access. The handgun may not be used for taking game unless specifically permited by TWRA regulation. This change will now allow those with carry permits to possess their handgun at times when previously it would not have been permissible such as during archery hunting. TWRA will apply this same interpretation to those possessing carry permits while hunting on private lands. (emphasis added)