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Pulease. Error was creeping into the church right away in Paul’s day. The wheats and the tares have always been in close proximity to each other. That’s why the angels were forbidden from uprooting the tares, to avoid damaging the true wheat.
Even the churches you mention in those links may still have some little wheat remaining, but the leadership is gone on a tare. :) They have long since substituted human authority for Scriptural authority, systematically displacing clear Biblical teaching for impulses issuing from the wickedness of the human heart. They are not at all representative of what traditional Biblical Christianity produces.
In the specific case of the Presbyterians you mentioned, the battle over biblical authority was lost way back in the early 1900’s. See Gary North’s book “Crossed Fingers,” on how the denominaltional leadership was taken over by deceitful seminarians who swore fidelity to the Scriptures and confessions of faith but who were later found to be false. Yet they ended up with the name of the church, and the property, and the influence.
But the faithful were pushed out, and had to start over again elsewhere. A repeating pattern, BTW, and clearly the work of Satan to assault the faithful. Yet God always finds a home for these faithful ones, because his purpose in building His church cannot be defeated, though the life of the church may at times be hidden from those who are wise in their own eyes.