Well, my point when I said that a church can’t be Catholic unless it is in communion with Roman Catholic Church was that Nestorian Churches (which you list as example of Catholic churches) are in fact heretical (excluding Chaldaean Catholics who are in communion with Rome but retain Nestorian rites). Nestorianism was condemned as a heresy by the council in Ephesus in 431. Please see
newadvent.org/cathen/10755a.htm
Also, I would like to point out that being Catholic is not something a person or institution can claim by their own. You can feel catholic, but you are not catholic unless the catholic community recognizes you as such. This is very akin to citizenship. You may move to a country and feel like you belong, but until you are granted citizenship you are not a citizen.