This has come up for years. In some circumstances you will be cooler, if the humidity is high you're fucked. Hot and dry, sweat more, hot and wet, heat stroke.
Their answer, in short: Yes, a hot drink can cool you down, but only in specific circumstances. “If you drink a hot drink, it does result in a lower amount of heat stored inside your body, provided the additional sweat that’s produced when you drink the hot drink can evaporate,” Jay says.