The air from the blower could be classed as warm, but not hot. When I do use my table mounted router it is rare that it runs over 5 minutes continuously to begin with. I see a lot of comments that warn against enclosed cabinets but still one of the most popular cabinets such as Bench Dog sell enclosed cabinets. I based my cabinet on a picture of one I saw in a woodworking magazine before I was aware of the heat generated by the router. I do understand the concern if you run the router for an extended period of time but running it 5 to 10 minutes in an hour shouldn't hurt it.
When something is advertised as being foolproof there is always a better class of fool that comes along to prove them wrong.