Not by fact, since Trek is fiction.
Mike Sussman wrote the IaMD bio as an easter egg for OCD fans who recorded, paused, zoomed in and had HD. Bad Robot wrote an easter egg into the dialogue for Enterprise fans to pick up on (and they are on record saying it's meant to be the guy from Enterprise. Scott Bakula assumed it was meant to be him, too)
So.... what's more binding? Dialogue or an unintelligible screen graphic?
And, FWIW, Archer did more time travelling than anyone else in Trek!