I don't know about you, but it might take a minute to realize a building is warm when I walk in, but instantly know when the shower is scalding hot.

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The frog thing is a myth. The frog will jump out when he gets too hot. Also, throwing a frog in boiling water will kill it instantly.

In the original boiled frog experiment the frogs brain has to be removed or it would jump out of the water on e it got too hot.

Either way the principle is true

You can get up to extreme temperatures in a hot tub by slowly turning up the temperature and it will feel like a normal hot tub near dangerous temperatures

You can do that with air too, and much better to boot. Hot tubs go above 100, but saunas can safely go above 150.

Your body’s reaction to being too warm is to sweat. The sweat will evaporate, cooling your body down as it does so. This works well in air. However, in water, the sweat doesn’t do anything; it just mixes with the water, providing no cooling.

You might not even realize you’re sweating in a hot tub (especially if you’re splashing around), since your body does it automatically. However, you’ll definitely notice the sweat when you’re in air; it’ll bead up everywhere, and start dripping if it’s both hot and humid. Thus, you’ll realize you’re too hot much more quickly in air than in water.