

There’s no point as a swamp cooler does not have heat to reject. A heat pump in a traditional AC works by making one side hot (outside) and one side cool (inside). A swamp cooler decreases temps by evaporating water, which absorbs energy.
Also, swamp coolers are only effective in very dry environments. Unless you’re in the desert it’s going to make it feel warmer by raising humidity significantly. A large part of why AC makes it feel nicer is reducing humidity, which allows sweat to work better.
They’re being toad by the snake.