I see what you're saying- I completly agree with your anecdotal statements and have similar experience, although your interpretation of your Wiki source seems off- Butch Trucks (not to be confused with Derek Trucks) quotes Greg Allman on the semantics argument, not the author editorializing.
From your Wiki source:
"Some artists such as
The Derek Trucks Band are known for resisting the label"
"An example of a prior-era band that gained the label "jam band" through an active affiliation with the 1990s jam band culture is
The Allman Brothers Band. However,
Gregg Allman has been quoted as recently as 2003 by his fellow band member
Butch Trucks in stating that rather than being a jam band The Allman Brothers are "a band that jams".
[16]""
"Although Trucks suggests that this is only a difference of semantics"
(End Quote)
Like almost every other genre, "Jam" covers a lot of ground. Within any genre, there are some major comparative differences between the constituents of that genre.
Cannible Corps vs. Black Sabbath? Both "Metal".
Merle Haggard vs Keith Urban? Both "country".
Bob Marley vs. Shaggy? Lol, "reggae"
Mingus vs. Kenny G?
Labels become complicated only if you put a lot of stock into them... People have an inherent need to categorize, I guess. I think it becomes challenging with "jam bands" because the very nature of a jam band is to span musical genre boundaries.
To your point, Miles had an aversion to being labeled as "Jazz", or anything else for that matter! Multiple biographical/autobiographical accounts from his many transitional periods where he was having to shake off the "Jazz" label. Who knows, he might have been down with a "jam band" label.