Well, that's EXACTLY why I asked that question. Not to pile on (okay, maybe a little) but you again state that "I don't know diddly squat about jazz other than I generally don't like it". Huh?
Over the years, when I've told people I just met that I play professionally, blah blah blah.......they ask me what kid of music I play. I'd say 90% of the time, when I say "I play primarily jazz" I've been hit with that deer in the headlights look, or my favorite: "Oh I love jazz. I love Kenny G".
Congrats on doing at least a little research!
However, as someone who's been doing this music you hate for about 40 yrs, I have to say that you have a LOT more "research" to do. Yes, there are probably a healthy baker's dozen of jazz "sub-types". Allow me to pontificate on some of your "selections":
"Type 1": Susan Dalzell. Well, I've never heard of her, so I looked on YouTube. From New Zealand? I found a grand total of ONE video of who I think is her. Sorry, that's not jazz.
"Type 2": Some early BeBop. You mean like Charlie Parker, Dizzy Gillespie, Miles Davis, Thelonious Monk? If so, yup. That's definitely early BeBop and definitely jazz. I'm a huge fan of all of those players I just mentioned but I'll also freely admit that it was those players and the "BeBop Movement" in general that alienated the "average Joe" from jazz. During the 20's through the 40's, jazz was THE pop music of the time. Why? Because it was relatively easy for the average person to listen to. It wasn't overly musically complicated, quite often featured singers and people could "relate" to it. The BeBop innovators changed that and made the music far more complex (in many ways) and ended up turning off the average listener. The music is in many ways FAR more interesting, difficult and/or challenging for a musician, but again, the average listener gets lost within minutes. It's stayed that way for decades now.
"Type 3": Shirley and Grochowina: Good stuff.......primarily solo piano stuff. I'd love if you checked out solo piano stuff of Bill Evans and Oscar Peterson.
"Type 4": CTI was a record label (Creed Taylor) that featured a wide spectrum of different styles of jazz that was played by the people/groups Taylor signed to the label. Everything from Freddie Hubbard to Hank Crawford to Bob James. Some of which were definitely jazz, while others I'd argue weren't. So CTI was a record label, not a jazz sub-type.
Lastly.......regarding the Four Seasons. Absolutely NOTHING wrong with them but it's (obviously) FAR from any kind of jazz. Have you ever checked out The Four Freshmen? If not, I think you'd be pleasantly surprised!
Sorry for the long missive...
J.