Definitely YES , unless you want Eastern Catholics excluded from the Mystical Body of Christ .
" The Mystical Body of Christ and the Roman Catholic Church are one and the same thing . " ( Written by Pope Pius XII in 1950 in his encyclical letter “Humani Generis” . )
Your assertion is rather dishonest, to be honest. It’s not a fair statement; and wouldn’t be respectful of either Roman, or Eastern Catholics - er, Greek Catholics.
To quote my Jeet Kune Do instructor: “JKD is defined by its tools.” Likewise, Greek Catholicism is defined by its tools, like Roman Catholicism is defined by its tools.
What are the tools of the Greek Catholics? Do you know petronus? Please answer us, whether you do, or don’t. For example, we don’t have Eucharistic Adoration, as our tools of the trade. Likewise, for most Roman Catholics, it’s not expected to carry a chotki/komboskini, or prayer rope; or, pray the Jesus Prayer; or sing an Akathist hym.
We don’t expect Roman rite parishes to have an iconostasis; nor, do we expect Roman Catholics to subscribe to our view of purgation (which is, purgatory isn’t a location). I can go on, and on. This misinformation regarding Greek Catholics, Maronite Catholics, Malankara needs to stop. You can’t put a round peg, into a square hole; and I don’t expect you to place a square peg, into a circular hole, either.
Hmmm…I wonder why in Orthodoxy, they just section it off based on Jurisdictions, and sometimes on ethnicity? Maybe it’s because they understand: not everyone will have the same tools of the trade, as another. They respect each church’s person hood, but at the same time acknowledge unity in the faith.