All those things are just shit.
The evaporative ones do work, kinda, on some level. Of course. The principle is nothing new. Evaporating water is an endothermic process.
Problem is, in such a tiny volume and air flow, it's just going to blow fresh air very locally. Like, right into your face. That's all.
As to the downsides, they are many: the higher the relative humidity, and the less it cools down air. If you live in a humid area, forget about it. It won't even blow fresh air. If it's very dry though, it will. With similar devices, I've measured like 15°C, at 20-30cm in front of it, in a dry room (around 30% RH) with 30°C ambient. With like 60% RH, which is a lot more common in summer in many countries, the "efficiency" drops dramatically. In any case, it's just going to make you feel fresh air very close to it, it's never going to drop a single °C in any room, even very small one.
Another downside is of course bacteria growth. There is from very limited to absolutely no filtering in those devices, so it'll grow bacteria very fast and will just blow that right into your face. Not something I'm very fond of.
Another obvious side-effet is that as it evaporates water, it will increase the RH in the air around it, which means, back to the point I made above, that after a while, the efficiency drops even if the room's air was initially very dry.
The difference with the "window evaporators" is that those have at least one side that faces outside, while those tiny evaporators are entirely INSIDE the room.