Databook disagrees.
Databook translation.
'Six Paths Sage Mode (六道仙人モード, Rikudō Sennin Mōdo)
Heading: A gift from the ancestor of Shinobi that grants a supernatural mental state allowing for the complete, universal comprehension of all things.
← The caster has an unconscious/automatic mastery of the Sage of Six Path's "ability to levitate" (浮遊する能力, fuyū suru nōryoku).
From what I can make out of the main body of text, it says that this is a technique that allows the user to quickly grasp the nature of Chakra with the skill of a well-studied, highly sensitive master. It also seems to have a bunch of philosophical stuff about the Sage of Six Paths which is hard to make out because I can only read about half of it.
→ Kicking a Truthseeker Orb! Surpassing Kurama Mode, his vast Chakra lets him perform this risky stunt!
← His reaction speed meets or exceeds that of Madara in his Ten Tails Jinchūriki Form. It's the height of sensory ability!'
The cloaked form is an amplified version yes, but it's still Six Paths Sage Mode, in the Manga Madara even referred to that Naruto as being in the Senjutsu of Six Paths (Six Paths Sage Mode), this amalgamation your talking about is only possible with RSM in the first place, as per the Databook, and no pigmentation explicitly means it's RSM, there's no room for argument here, both the normal TSB kicking Naruto and the cloaked one are RSM, period.
Bold. I have no idea what you're going on about there, but Ashura Avatar Naruto anyone? That's easily above any normal BM Avatar lol.