Papal Supremacy means this:
Papal supremacy is the doctrine of the Catholic Church that the Pope, by reason of his office as Vicar of Christ, the visible source and foundation of the unity both of the bishops and of the whole company of the faithful, and as pastor of the entire Catholic Church, has full, supreme, and universal power over the whole Church, a power which he can always exercise unhindered:1 that, in brief, "the Pope enjoys, by divine institution, supreme, full, immediate, and universal power in the care of souls. -source-
The Catholic Church of course believes this has existed from the Church's beginning, but the Orthodox Church, Anglican Church, and Protestant Churches do not believe this claim.
How is this claim by the Catholic Church shown to not always have existed? How do the other churches show this to be a false claim?
There are other questions like about Papal Supremacy, but this asks for the proof the claim does not exist.