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Why wouldn't they? They are just EM waves. "Light" is used colloquially for the visible spectrum but microwaves could be considered light waves

You are actually correct. The speed of light you always hear about is the speed of EM radiation in a perfect vacuum. In a medium such as the atmosphere, the pulse doesn't travel as fast. The slowdown depends on the refractive index, which itself depends on the frequency of the wave -- longer wavelengths have lower indices. This means that microwaves will move the tiniest bit faster than light through the atmosphere.

> Microwaves dont travel at the speed of light

Yes, they do, microwaves are just a wavelength of light.

You might have been colloquially correct. Microwaves travel at the speed of light, but my microwave that heats up a Hot Pocket can't. :-)

They’ll work in a pinch against a drone idling below your kitchen window.

Microwaves do travel at the speed of light, all electromagnetic radiation does.