“The Latin Rite is, though, the ‘Mother and teacher of all the rites’”
An interesting premise but one I think that is not true. We could say that the Latin Rite is the largest Rite but this means nothing as far as teacher of all rites. We can also say that the Pope, head of all Rites, has almost always been from the Latin Rite but that does not mean that the Holy Spirit may not choose a man from one of the other Rites!
From my limited understanding the only difference in the Rites is disciplinary in nature, outward appearances so to speak. We have the same core beliefs which is what makes us Catholics in the first place. This core set of beliefs is what is most important, not whether we stand throughout the Mass or what we call the Mass - Holy Sacrifice of the Mass or Divine Liturgy (there may be other names these are the only two that I personally know and yes, I am a Latin Rite Catholic hence probably my limited knowledge :D).
There is much I don’t know about the different Rties of our Catholic Faith but I do know they are all valid.