The question you responded to referenced the Church of England. Your response said the Church in England. Of course the RCC was in England much earlier that the formation of the Church of England...but that is really not the disagreement, is it.
Albion is right - what he is saying is not controversial.
And I will point out - this idea that the CofE is not a continuous organization with what came before isn't something you will hear from real Catholic historians. It is pretty much the method of rather poor amateur apologetics.
No one except perhaps yourself is unclear what is meant by demoninationalism, because you are extending an organization that was fractured back into the past in a very historically inappropriate way.
The Church in England was no different than the Church in other places - it was founded in the first centuries and existed locally, but in relationship to the others, just like they all did. In those days, there was not always much contact, as people were more isolated.
What happened in the English Reformation was a schism, much like what happened with the East, and it was recognized and treated as such at the time. The people, the buildings, most of the bishops and hierarchy, carried on pretty much as they had before, but out of communion with the pope.
For goodness sake - the English Church may well have been founded before the Roman one, and it existed quite independently for years as Albion said while sending bishops and representatives where it was required.
It was under the Roman patriarch eventually, and that had significant results, but that doesn't make it somehow Roman and not English. The English Church = the Church in England. English people are English, not Roman.
It is really bizarre to have people who are ignorant of the history talking condescendingly of people finding it "so hard to see that there were no denominations" when they themselves don't seem to have a clue what the actual history was, how their own church understood it at the time, or how their own historians see it now, and inappropriately read the modern sense of the Roman Church back into the early Church period in a way no Catholic scholar ever would.