2. Jazz is barely a genre anymore there's so many different sub-genre's and movements within it that actually using the term how you did is disingenuous.
3. You did the same as above with about the same effect for "pop music". Seeing as you addressed harmony, you'll actually find that there are lots of common harmonic (chord) progressions that are shared between the two idioms. They reflect each other more than they are different to each other. If you really wanted to make the point you were trying to make I'd suggest looking for some form of obscure ethnic music (Pakistani throat singing or Indonesian Gamelan perhaps) that has not really had much chance to mix with western music and absorb its paradigms.
This song isn't actively bad. I wouldn't mind it in the background. But as far as I can tell, it doesn't really utilize "jazzy" chords either. It's just kind of gentle and peaceful and doesn't ask for too much attention. I wouldn't use this as a good example of Jazz music.
What I'm referring to as what sounds awful are songs that try to use "creative" chords that are really just dissonant or don't belong together and "advanced" notes that are really just out of key. As far as I can tell this song isn't doing that.
Makes sense except for one point: Why would a person purposefully subject themselves to a musical genre that sounds bad? You said yourself, to the virgin ear, jazz sounds bad. That means that everyone who likes jazz music at one point thought that it was terrible music yet listened to it anyway.