He stated that he was using the Juubi's Power to approach his and her power meaning that he needed the Juubi to obtain the complete power of the Six Paths:
You must be registered for see links
Therefore, having both Rinnegan doesn't mean that DRSM Madara had that power unless Nagato did as well which doesn't make sense.
Sasuke received 1/2 of Hagoromo's Chakra which is heavily composed of very powerful Physical Energy, so he did improve physically. Why wouldn't that be the case if Sasuke managed to Shunshin and bisect Juubidara in half before he initiated the reaction to even warp away. Juubidara even admitted that Sasuke was fast.
Sasuke didn't use Ameno because Juubidara admitted that he was out of range, so what Sasuke most likely did was use Ameno to close the distance and flickered the rest of the distance to strike him.
That doesn't matter. Kakashi admitted that his abilities improved drastically due to Rikudou's Chakra, therefore, Rikudou Chakra enhances his abilities.
I know that Black Chidori is a result of Rikudou's Chakra. I'm confused on how "Sage Chakra" is any different than Rikudou's Chakra.
What's the reason then? If we don't take into account of the quality of their abilities, than EMS Sasuke > Indra by default.
1. EMS Madara's PS is at least the size of Full Kurama whereas EMS Sasuke's PS is only slightly greater than 50% Kurama at best.
2. By feats, EMS Madara's PS is physically stronger than EMS Sasuke's PS and I can go more in depth if need be.
3. By feats, EMS Madara's PS is much more durable than EMS Sasuke's PS and I can go more in depth if need be.
EMS Madara's PS by far, wasn't just on par with EMS Sasuke's.
That wasn't the point I was making. It's the fact that possessing both powers at once produces a Dojutsu which is hyped to be almost unstoppable by both Itachi and Hagoromo. Not only that, but the Tomoe Rinnegan isn't just about using the Sharingan's abilities while still keeping the Rinnegan active, it's the fact that he uses the Rinnegan to enhance his Sharingan abilities substantially.
Examples of that are:
You must be registered for see links
and
You must be registered for see links
Madara doesn't have that advantage, so even with a similar amount of Rikudou Chakra, he still falls short.
You also emphasized my point with Kaguya because if she didn't possess the Mangekyo, but Sasuke does, doesn't that mean he possesses a superior Dojutsu than Kaguya? Hagoromo also never mentioned the Byakugan, Hagoromo only referred to the Sharingan being a gruesome eye power. Since Sasuke possesses both the Rinnegan and the Sharingan in 1 eye much like Kaguya, he should fit that criteria.
No, Sasuke managed to keep up with Juubidara in reactions and speed, so him being able to match Madara after he obtained the Juubi's full power means that his Rikudou Chakra was comparable to Juubidara's.
If Juubidara was so far ahead of Sasuke, then RSM Naruto's clones shouldn't have been able to stalemate Juubidara's Limbo (which possesses equal ability as the original) and Juubidara wouldn't have admitted that Sasuke was fast and wouldn't have been bisected in the process.
Why would I need proof that Perfect Susano'o would improve due to Chakra Quality when it's a manifestation of the user's chakra. If it depends on the user's chakra, then obviously the Volume of their Chakra and the Quality of their Chakra would determine how powerful their Susano'o is. This is just common sense and I don't need proof of that.
If this wasn't the case, then Sasuke's PS shouldn't have been significantly stronger to the point where his sliced through meteors that made the mountains that Madara's PS slashed look like ants in comparison.
Full Kurama is a beast made up of purely chakra with a disadvantage to Mokuton yet it one-paneled that Wood Dragon. PS doesn't have that disadvantage and Rikudou Sasuke's PS >> Madara's PS and Madara's PS is at the very least physically on par with Full Kurama, so Rikudou Sasuke easily slices through that Wood Dragon.
If RT Madara's Mokuton was on the level of what you're suggesting, then Madara wouldn't have needed his Rinnegan in order to subdue them, so clearly, his Mokuton wasn't on the level to subdue all of the Bijuu, so his Mokuton shouldn't even be relevant in this fight at all. If Madara could use SM Mokujin, Rikudou Sasuke slices through that like butter regardless due to being significantly stronger than Madara's PS and even possessing Enton Kagutsuchi and Chidori which enhances his Susano'o substantially.
The only notable thing that resulted from it was Sage Sensing, Endurance (arguably), and Hashirama's Regen, but there were no noticeable buffs that Madara received from it and Madara stating that it was so little means that it was hardly enough to augment his abilities.
He reacted to Minato's teleportation as it's easier to predict and Rikudou Sasuke >> SM Minato. DRSM Madara can't do so when Rikudou Sasuke with just his Flicker and Reflexes could slice Juubidara in half before even beginning to warp to the Kamui Dimension.