I had to take a picture when I saw that a hotel’s wireless infrastructure consisted of a Linksys wireless router screwed to an outside wall. It isn’t even under a covered area to keep it out of the weather.
That looks a lot like a Cisco 1200-series access point. If that’s what it is, it’s actually a very high quality and very expensive AP. It will tolerate most weather as long as it doesn’t directly get very wet. (Although I agree that the installation could have been prettier… they should really have hidden that wire.)