@dalias @Remittancegirl it's not enough that the wet bulb is exactly the body temperature and you're OK. The actual not-getting-into-heatstroke are is more around 33C, because your body not only needs to cool down passively (like a thermometer), but it constantly produces heat due to metabolic activity.
So 36.5C makes is more or less impossible to ever cool down below 41C or so body temperature. This is lethal, even if some people can survive fever spikes higher than that.