Too bad base us stronger than final four months FriezaMy view on power levels is that KaioKen is linear while the transformations (including fusion) are exponential. So Goku's not boosting his power *that* much by Kaioken compared to any transformation he can come up with.
So Super Saiyan 2 obviously isn't 2x Super Saiyan 1. It's also not Super Saiyan 1 squared, but it's exponent based. So Ascended Saiyan, Android 17 and 18, and both forms of pre-perfect Cell are somewhere on that line. Multiple times stronger than SSJ1, but multiple times weaker than SSJ2.
I'm really not a fan of the "base form" power changes, though. In my headcanon base Goku is still roughly stronger than Assault Form Frieza but weaker than Final Frieza. That's the only way any of this makes sense.
I also ignore the "you absorbed some of the power of SSJGod" line.
People may not like it but it would have been better if they got rid of the golden super Saiyan and just kept the God forms to simplify it