Different teachings, yes. But does different mean “false”? How do we know what is true and what is “false”? Especially regarding an idea that generated varying points of view in the early years of the Church, is not clearly defined in the Gospels, and is still very much a mystery today and difficult, if not impossible, to fathom?
I am not sure if different points of view about the Trinity would have brought about “divisions and strife”, except in the highest councils of the Church or among theologians. The great majority of the laity would not have cared one way or the other.
Rather than come up with a doctrine based on conjecture, maybe the Church should have said “we don’t know exactly what the Trinity is or how to define it, and we agree to disagree, because it is not essential to our faith to understand it.” That would have probably been the best and most honest response.
In an earlier post, you said:
I look at this statement and wonder: Are we not splitting hairs here? Very fine ones, at that? Is the question of whether God is One acting as three persons or three persons in One God the crux of all Christianity? Is it really essential? If I didn’t know which it was would it really matter?
Does it change my understanding of the commandments? No.
Does it require me to adjust how I should live a Christian life? No.
Does it change in any way the teachings of Jesus? No.
Did Jesus (or God the Father) command us to believe this or else? Don’t think so.
Does it change what happened to Jesus and His meaning to the Church and its people? Doesn’t appear to.
Will I be saved or not saved based on how I understand this concept? Highly doubt it.
I can picture our Lord looking at us, shaking His head, and thinking: “Those poor souls break my commandments right and left, kill each other, hate each other, mistreat each other, and generally refuse to live according to my teachings, and then spend their time arguing about this useless stuff, that will not make one difference to their ultimate salvation. Haven’t they learned anything?”
Maybe you can’t see God thinking that, but I can.