I don’t see how either theory explains the water/ice elswhere in the solar system such as on Jupiter’s moons Europa and Ganymede.
Think
Those bodies formed beyond the “snow line.” There was plenty of molecular water in those regions long enough to result in the amounts of water ice there.
In fairness, the cometary impact blue planet theory never felt right to me. I was happy to see this theory evolve.
Whoops.
Give 'em a minute, and they'll cook up some ad hoc theory to explain that too.