Just for the heck of it Comparison of the SSJ God 'transformation' and the Kaio-ken 'technique'. These are just my opinions. I may be completely wrong, but it's a fan's duty (and pastime) to speculate..since there's so much room for imagination!
But funny thing, about you mentioning about the Kais of the 4 Quadrant Universes, King Kai of the North in the movie said that he wasn't familiar with the Super Saiyan God legend, even though the Oracle Fish might've exageratted with the premonition towards Beerus as a formidable archfoe, especially the figure looks conveiniently similar to Goku. You also made a good description based between the technique made by the Kais and the form made by 6 light hearted Saiyans.
On a similar but separate note. Don't you think it would be cool of other characters learned Kaioken? None of the Saiyans need it, what with Super Saiyan and all, but Piccolo? Or Uub? They would be able to keep up with a SSJ2 or SSJ3 if they use a x10 or x20. And the human characters would at least be able to keep up with a base Saiyan. Toryama, make the non-Saiyans relevant again!
I said humons wood not get back in to the light: of they war able to use kaioken: or did you forget about the gods what good wood kaioken do the humons when there gods out there: that they have to fight;
I don't think humon can handle times 20 for kaioken
To be honest, if Kaioken didn't exist, I would like SSJ God's design much more. It's distinct enough from the normal Super Saiyan to not be just a simple level up (no golden hair, golden aura, etc). Its not a golden SSJ 4 like so much of the fan art was. I like the concept of it not looking so visually impressive, like how crazy SSJ3 and SSJ4 looked compared to base Goku. It's just to similar to Kaioken. Over all, SSJ4 looks cool looking without much thought put into it, and SSJ God has a good concept, it just had poor execution.