That website is probably well-intentioned but it seems to me to be a little “off” on several things.
The first is that the Ambrosian, Mozarabic, and Bragan (and they neglected to mention the Lyonais) are considered Rites within the Latin Church and not Churches sui juris (that is, having their own law, as do the Eastern & Oriental Churches noted later in the article) in and of themselves. IOW, they are Rites within the Latin Church (as is the Roman Rite) and not separate from it. Those 4 Rites had remained in continuous use for at least 200 years prior to Trent (actually much much longer than that), and were not suppressed.
The second point I’ll mention is regarding the list of Rites proper to Religious Orders. First, there is not, and never has been, either a Benedictine Rite per-se or a Franciscan Rite per-se. Whereas both vary slightly in certain ways from the Roman, (mainly in the Office and Calendar) they would be best classified as usages. The same is, IIRC, true of the Servites. The remainder, however, **are **considered Rites, and also survived Trent. (The Praemonstratentian Rite was abandoned by decision of the General Chapter shortly after Trent, although certain elements of it were preserved).
The third point concerns the footnote. Both the Gallican (except for the Lyonais variant which survived until the Novus Ordo and is, I believe, experiencing a revival of sorts under the terms of Summorum Pontificum) and the Sarum (which is not the same as the Celtic) Rites had fallen into disuse prior to Trent (the Gallican and Celtic long before, while the Sarum was dealt its death blow by Cranmer and his Protestants) and were summarily suppressed since they did not meet the 200 year continuous-use minimum.