Why isn't is "Saiyan God" and "Saiyan God Super Saiyan"?

I don't get it. Aren't they the God mode of the Saiyan race? A Saiyan God? Being God of Super Saiyans means you're limited to being God of Super Saiyans, what's a God who's worshipped by 5 people like?

Just a thought, it would also cut down "Super Saiyan God Super Saiyan (Evolved)" into "Saiyan God Super Saiyan (Evolved)"

It's not like the base God form has Super Saiyan hair too, it has regular Saiyan hair.