With whirlpool/hopstand (same as whirlpool without the spinning!) additions you are usually more precise than letting the wort gradually cool. You chill to a set temperature and then hold the wort at that temperature for the duration of the hopstand. Once done you then chill to pitching temperature.
The whirlpool temperature is often quoted as around 80C but there is a difference at different temperatures just as there is with the mash temperature. 90C favours fruity notes, 80C favours floral, 70C favours woody/spicy.
Rapidly cooling wort is in part to minimise the window where the wort is at just the right temperature for wild yeast and bacteria to take hold and also to minimise DMS (DiMethylSulfide). DMS is produced from the grain, and then the wort, at high temperatures. During the boil it is boiled off but as the temperature cools you still produce it but it’s not being boiled off. It gives your beer a vegetable off taste usually described as cooked corn.
Anthing over 70C is considered safe because it’s too hot for those unwanted beasties.