I agree, I wasn't suggesting that they all were but most of the interchangeable ones were sun gods. The other thing of note is your examples are all New Worlds myths which haven't had the cross pollination of the Indo-European Myth.
The reason I referred to the sun god (as opposed to some of the other interchangeable gods, such as the ocean) was because it has been really prolific. Apart from the ones we are familiar with like Sol, Helios, Apollo, Osiris there are so many more with are considered to be son gods, such as Adonis, Mithras, Dionysus, Bachus, some of the really interesting ideas are that even Heracles, Moses and Jesus are solar/zodiac allegories