Is super saiyan god a "super saiyan" transformation, or does just it have a missleading name?
The Super Saiyan God transformation requires the power of 6 pure hearted Saiyans. However it is not mentioned anywhere that the 6 Saiyans must be Super-Saiyan themselves, (since Videl's unborn child was able to contribute as well). 

I think it gets very confusing though because all the Saiyans during the ritual including Goku were super-Saiyans(except Videl's child) and yet Videl's hair-color also changed to Golden. So I think the name Super Saiyan God is a misnomer and it should have actually been Saiyan God. 

It would also make sense that way, since Super Saiyan Blue would then technically be a "Saiyan God" who does a Super-Saiyan transformation. That would be more accurate, but I guess we have to accept Akira Toriyama's naming convention, since it is his creation after all.