I think a lot of people go through a life cycle of Computer Modern. I originally was indifferent, but once I learned LaTeX I used it since it was the default and it signaled to people that I knew LaTeX. Now I prefer Utopia/Fourier instead. Computer Modern seems to "thin", in my opinion, but I still use it on occasion. Some colleagues of mine really love it, though.

I can see why some people like it since it's the default font for a lot of technical documents and seeing it often signifies a certain level of "quality". The documents generally look better than Word documents, for example. Moreover, if an author took the time to learn LaTeX, it is easy to assume that they know what they are talking about. This is a form of "honor by association" (opposite of guilt by association fallacy).

Relevant XKCD:

https://xkcd.com/1301/