Fair enough.

I think we definitely agree that there has been awful pop music for a very, very, long time.
Now, I'm curious as to what your take on pop music made by, say, the Beatles, or Michael Jackson, or Prince, might be? I think it can be argued that each were geniuses in their musical forms. Prince is also a rather gifted musician on multiple instruments. The Beatles redefined pop music. And Michael Jackson wrote some amazing, timeless songs and as a performer... well, he was the King of Pop, after all.
All of them also wrote some awful songs... My point, simply, is that there is a lot of subjectively awful music out there, and it crosses all genres. Likewise, there is absolutely transcendent, brilliant, music out there, and that also crosses all genres.
Taste is certainly, and utterly, subjective. I've read the rest of the thread and I think there is no real right answer to the original question. In my opinion, music is music. I think those who have said that it takes more dedication and practice to play jazz, and classical music, for that matter, are right, if for no other reason than the instruments required to play those forms of music are more difficult to master than the standard instruments in more popular forms of music. Further, and related to those instruments, the price of entry is far higher, meaning far fewer people even get a chance to try it out.
Oddly, the only genre I can think of off hand where a similar level of practice and proficiency is most often required is in technical metal and prog, though in any genre there are masters (Nels Cline with Wilco comes immediately to mind) or slide players in country, for example.
It's an interesting question because it creates so many different rabbit holes to disappear into. What is jazz to begin with? Is Trevor Dunn's Trio Convulsant jazz? What about Garage A Trois? What about Masada? Is Bill Frisell really making jazz anymore?
I'm sure there are people out there who have a jazz song that reminds of them of, say, the love of their life, or a period in their life that was really difficult, or really great, but I think they're probably pretty rare. One the great things about pop music is how it can distill a powerful emotion or experience into a widely understood and absorbed piece of music. That is not what jazz is about, in my opinion. That being the case, far fewer people are likely to listen to jazz because it speaks to the average listener, on many levels, far less directly, and requires more of the listener. This does not make it better, or worse, to my way of thinking, it simply makes it different.