That’s basically it but I’m compelled to add a few comments.
Most of the local “Rites” that ended up being suppressed after Trent were what I’ll call “upstarts” and many of them were severely tainted by Protestant ideology.
For those that met the “200 year” rule, the Roman Rite had already supplanted most such local usages well before they were technically suppressed after Trent. The true Gallican Rite, for example, had long since fallen into disuse in favor of the Roman. So, too, the Celtic, and a variety of others, including those of Bangor, York, and Hereford. Sarum remained, but had been reduced in scope, again due to of the proliferation of the Roman Rite. Despite Queen Mary’s efforts to revive it, it was ultimately suppressed because its continuity of usage had lapsed because of Cranmer.
Regarding the few “territorial Rites” that survived Trent, they actually still survive today, at least officially, as do those proper to certain religious Orders. In some cases (e.g. Lyon and Braga), they fell into practical disuse after the release of the Novus Ordo, but have experienced a certain amount of revival in light of Summorum Pontificum.in that they are the local Usus Antiquior. The Ambrosian Rite was saved from total oblivion by Paul VI’s intervention after the release of the Novus Ordo, and now exists in a post-conciliar, Novus Ordo-influenced form, as well as its traditional form. The Mozarabic underwent an extensive restoration (released, I think, in 1992).