Has Peterson's view been refuted, though? His view is consistent with some philosophers over the last several thousand years, including ancient Roman and Greek philosophers. See Karen Armstrong's "History of God", where she describes the evolution of views about God.
For Sam Harris, God is a supernatural creature, existing as a separate entity. This is the God described in Sagan's "dragon in the garage" and Russell's "orbiting teapot" examples. That God is separate to the world. Take that dragon or teapot away, and the universe continues unchanged. Take away Harris's God, and his world is no different.
Peterson's God exists as transcendent values. It is the place-holder for all that is good. Remove that God, and you lose all transcendent values: morality, art, kindness, etc. Removing Peterson's God makes it a very different universe.
Peterson believes that Harris's morality is based on a self-evident claim that there is undue suffering and that undue suffering is bad. But that is a transcendent value. Thus (according to Peterson) Harris "really at heart" believes in God -- at least, God as Peterson understands the term.
I've seen Peterson try to describe this view a few times, both to Harris and Matt Dillahunty. But neither of them want to argue on that basis. They only want to argue on the basis of the God that they disbelieve in, which Peterson also disbelieves in! No wonder they get frustrated at Peterson's refusal to endorse the God that they disbelieve in.
I do blame Peterson for a large part of the frustration. He MUST know where Harris and Dillahunty are coming from. He should be able to clear it up, in my opinion. But also Harris and Dillahunty seem to insist on Peterson defending a God that Peterson personally doesn't believe in. They should know that by now, also. If they've read enough philosophy, they must have encountered such views before. They aren't unique to Peterson. Peterson does describe them from a more Jungian perspective though.