NO it would not make sense. ssgss is not a power level because it has no multiplier. IT gives goku complete control of his ki. So it would make no sense to give him ssgss ssj3 when it will all still be the same except a different look. People ask can goku as a ssgss kill andriod 17. YES he can the reason he did it was so he didnt kill android 17 یا weaken him before the tournament of power because goku controls his ki.
He has the option (SSJ Official Multipliers) SSJ x50 Base SSJ2 x2 SSJ x100 base SSJ3 x4 SSJ2 x8 SSJ x400 Base (My multipliers for God ki) God Ki x800 Base God Ki SSJ x40000 Base SSG(beginner god ki) x320000 base God Ki SSJ2 x80000 Bas3 God Ki SSJ3 x 320000 Base (Mastered) SSG x72 million SSB x360 million SSB2 x720 million SSB3 x5.76 billion SSBKX10 3.6billion SSBKX20 7.2 billion
SSJ3 will just drain Goku energy مزید than Kaioken so kaioken is a مزید powerful and less draining option even being in SSB puts a strain on Goku's Body so he has the option to, but no,