Though I intend this to be a general thread about ideas, I have to address you in particular because you seem to have a particular idea that no one else here has.
Since you agree that we have different views on "the Nazarene Christians", I'd like to know what your views are. What are they? What do they believe? Where do they come from? What's their history?
It seems to me that "Nazarenes" was one term among several used for Christians in the NT (cf. Acts 24.5), but got attached to those in the Middle East (I think it is/was used by Jews and Muslims), and very early on that name was also associated with the original Christian community in India. To this day, the Syrian Christians there are referred to as "Nasranis" as opposed to those Christians born from the missionary efforts of RC's and Protestants. Despite internal divisions which occurred after RC and Protestant influence, all these Nasranis are united by the Syriac heritage, and their divisions do not really pre-date arrival of the Portuguese colonists on Indian shores. We can be certain of their beliefs, their origins, their identity and history. Unless the Middle Eastern Churches (Antioch, Jerusalem, perhaps Alexandria) also use this term for themselves, I'm unaware of any group with a historic claim to this term and a historic continuity other than the Syrian Christians of India. "Nazarene Christians" never disappeared: we've always been here.
So I'm curious what you think "Nazarene Christians" are. I found references online to various groups of recent origin referring to themselves as Nazarenes, "heretical" groups from the fourth century, etc., but I don't want to presume this is what you're talking about. None of these groups seems to have anything in common with historical groups like the Nasranis of India, who have an unbroken history and lineage going back to the first century, increasingly confirmed by archaeology and scholarly disciplines.