What Six Paths chakra are you talking about? Sasuke is not Hagoromo. He cannot produce any sort of Six Paths chakra on his own.
If Sasuke learned Sage mode, he would have a normal Sage mode. For Sasuke to achieve Six Paths Sage mode, he would need the Biju.
Sasuke only used Six Paths Sage chakra once in the series, which was his black Chidori against Madara and that was by drawing on the power of the Yin seal that he no longer has.
Sasuke's Chidori being blue blatantly shows the readers that he doesn't possess any of Hagoromo's Six Paths chakra.
There isn't any possible way to misinterpret this unless you're an idiotic fanboy.