You absolutely can dance to jazz, depending on the song and rhythm.
Jazz is not random, nor pseudorandom. (That would make it a lot easier for me in my solos, but also would ultimately make jazz a very boring genre). It may sound like that to a new ear - jazz is not particularly accessible compared to other genres. But for the most part it follows forms and has a regular structure.
It’s a living, mostly ephemeral thing. It’s a live conversation - listen to the interactions between the players, it’s not static.
I’m on mobile at the moment but here are some good songs/albums:
[0]: https://youtu.be/qjrGjomFhpQ
[1]: https://youtu.be/YovfrsCML48
[2]: (this album has two takes of the same song, so you can compare the solos and see how they handle them differently) https://youtu.be/Ykm517sOieE
I don’t like this elizabethan bullshit, i find it unpleasant, and rather than waste my time on something that I feel doesn’t deserve my time, I’m gonna read some michael crighton. or maybe some dean koontz, stephen king or heck, tom clancy. it’s my life and I like what I like, and I encourage everyone to like what they like personally, and not allow themselves to be goaded into reading taming of the shrew, even if that is the best thing ole billy boy ever wrote.
I'm losing track of this
If you prefer classical or whatever, awesome!
Jazz artists play with their listeners' expectations just like artists in any other genre of music, but people who listen to a lot of jazz have developed a set of expectations that others don't have. Jazz listeners find jazz musical and viscerally enjoyable in the same way listeners of other genres enjoy their music - it's not (only) an abstract intellectual appreciation, which I get the impression a lot of people suspect.
To me, a better analogy than reading Shakespeare in a language you don't understand is watching a sport you don't know the rules to. We're both watching the same people make the same moves, but if you don't know the rules, you don't know what to expect, and every move looks random and purposeless. Someone who knows the rules watches the same thing and is able to enjoy the interplay between the expected and unexpected, to appreciate the skill and the moments of brilliance and drama, on what I think few would claim is not a visceral level.