Anyone even marginally familiar with history would know, for example, that Constantine did not establish Christianity as state religion; that throughout the history of church-state relations in the West conflict was frequent (look up “investiture controversy” for starters). Anyone who would bother to read ante-nicene fathers will find that the Church was eucharistic and hierarchical as early as when St. Ignatius coined the word “Catholic” sometime at the close of 1st c.
Coining the word catholic
and the church of the first century, 2nd century and 3rd century all being
100% equal to, identical with
the politically established ROMAN EDIFICE
is a much bigger stretch than my understanding of history is able or willing to make.