I generally agree with your supercladistics*, with minor quibbles & observations.There are severa kinds of Team comics I've seen...
Fantastic Four, X-Men, TMNT: Most of the cast is stable long term, some changes at reboots. Characters are created specifically for the team... tho' certain characters may also have solo series.
The TV "Why the «bleep» are they together?" ones, such as Superfriends/JLA. Spiderman & Friends (Spidey, Firestar, and Iceman).
The team of shared threat: pretty much any of the Secret Wars or "Crisis of" titles. Avengers is clearly this in the movie. Age of Ultron isn't. Supergirl, The Arrow and The Flash crossovers on TV, noting that Supergirl is a different continuity, and the characters discuss the differences onscreen.
Then you have the Unit model: they're part of some agency, and are assigned together, no choice involved. Agents of Shield is the key exemplar on TV. A close variant is the Master and students, such as New Mutants.
And finally, the family model: in the TV Arrow show. Red Arrow is Olly's sister. The Canary is his exGF. White Canary is his exGF's sister, and Olly's fling... Plus Olly's Bodyguard sometimes doubles as The Arrow. Two big disfunctional families. Oh, and they all are hunted by the father of the Canary sisters.
Also, Supergirl and Superman teamups. The occasional calling upon the Amazons in Wonder Woman. Thor and other Norse Gods in Marvel. Even, occasionally, teaming up with Loki.
I've probably missed some nuanced subset... I don't right know which flavor Teen Titans is.
But not everyone wants to be the team of professionals of Alpha Flight ot the X-Men, and many wouldn't want to play the ad-hoc team who decide to stay together.
1) it should be noted that some groups belong to more than one clade. The FF are a tight group (C1) but they’re also a family (C5).
2) I’d add Derivative Groups as C6. These are groups that were spun off of/inspired by another established group, which could happen for a variety of reasons. The West Coast & Great Lakes Avengers, the Teen Titans, and The Legion of Substitute Heroes would be exemplars.
3) C3 groups often form for the nebulous reason of increasing efficacy via teamwork with other extraordinary beings. That’s definitely the vibe you got from the early JLA and Avengers.
4) I’d also add C3a: groups that are temporary alliances by their intrinsic nature. One major example of this would be from the original Secret Wars. While the heroes naturally allied with each other, the only reason they were ALL together was the actions of The Beyonder. Normally, they were too scattered around the world and with different crimefighting goals to work together. (Yes, this particular group also belongs in C4; see my first point.)
* they’re expialidocious
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