I am looking at a hot air rework station too, and have done a lot of looking around.
The general consensus seems to be that they all kind of work.
But have no temperature stability, no safety features at all, and kind of work until they don't or burn your shop down.
I decided to not buy one and save money for a decent one.
If 45$ is your budget, my guess would be to buy the one with a color you like most
I'd love to be corrected if I'm wrong here, so if anyone has one of those cheap hot air stations and likes it, please tell