CAN the Catholic Church be found in the buildings […] that go today by the Catholic name and profess allegiance to Rome?

No, the Catholic Church cannot be found today in these buildings […] because they do not profess the Catholic religion, but a syncretistic, modernist faith and all their priests, bishops and popes since Vatican II have lost their offices because of heresy and apostasy. […]

Can the Catholic Church be found in churches […] that offer the Traditional Latin Mass and appear to accept all of Church doctrine while professing allegiance to apostate Rome?

No, the Catholic Church cannot be found in diocesan churches that offer the Traditional Latin Mass because they are in communion with heresy and apostasy and all of their priests are either laymen or clerics who have fallen from office. These alleged clerics profess by the fact of their position a syncretistic creed, not the Catholic faith.

[…]

Can the Catholic Church be found in “sedevacantist” or “independent” chapels run by supposed clergy who reject the legitimacy of the Vatican II popes, the modernist religion and its new worship, claiming to offer the faith in all its purity?

No, the Catholic Church cannot be found in these renegade chapels because they operate outside the authority of the Catholic Church, defiantly rejecting the government of the Church, its divine laws and the teaching of the last true pope, Pope Pius XII, who explicitly forbade such novelties during a papal interregnum. […]

Where then can the Catholic Church be found?

The Catholic Church can be found among those who profess the Catholic faith and refuse all of the above, retaining the remaining practices available to them by Church teaching and participating in all the sacraments, except Holy Orders, by fact […] or desire […], as explicitly approved by the Council of Trent and constant Church tradition.

Isn’t it absurd to claim that the Catholic Church has been reduced to such a few without any clergy at all?