[Campion]

Many Catholics in Asia, for example, also keep Buddhist practices

That's syncretism, not a different Catholic rite.

The different rites (the better term is "church sui iuris") are in full communion with one another, and teach the same faith (though their emphases and ways of expressing it are sometimes different).

[RnMomof7]

Many Catholics in Asia, for example, also keep Buddhist practices
That's syncretism, not a different Catholic rite

It just adds another layer of false gods and practices to Catholism ...just keep moving along nothing to see here