As well as Native tribes. But they do not include foreign governments.
OP, most hotels are not likely to check for the gov't ID card but if they do they can technically deny you on a foreign gov't ID. Will they? Really depends on the hotel and the agent working. I think there's been so much churn and turnover in front desk agents lately that most have no clue the gov't rate is for US/Canada/Native tribes only.
-RM