So we know that the chakra didn't directly influence Sasuke's own jutsu.
What i'm trying to figure out is whether or not it increased Susano'o's defense and the way Sasuke controls it.
In my opinion, it didn't. We see that Naruto was still able to match Susano'o's strength, even before he got the senjutsu chakra. As well, their speed was still matched, and we see that when they continue to trade blows similar to how they did before.
Then there's the fact that Sasuke controls the speed at which Susano'o moves, and that Naruto's avatar, which had already been exhausted of Senjutsu was still able to have the same defense capabilities as Sasuke's Susano'o.
The only difference was that Sasuke now had chakra he could use to increase the strength of his techniques.
What i'm trying to figure out is whether or not it increased Susano'o's defense and the way Sasuke controls it.
In my opinion, it didn't. We see that Naruto was still able to match Susano'o's strength, even before he got the senjutsu chakra. As well, their speed was still matched, and we see that when they continue to trade blows similar to how they did before.
Then there's the fact that Sasuke controls the speed at which Susano'o moves, and that Naruto's avatar, which had already been exhausted of Senjutsu was still able to have the same defense capabilities as Sasuke's Susano'o.
The only difference was that Sasuke now had chakra he could use to increase the strength of his techniques.