Speculation, nothing more.
Well, seeing as Madara himself stated Hashirama was the only one who could compete with him at the time, it doesn't seem so. The only useful thing that Kurama did for him was spam Tailed Beast Bombs. Other than that, it was detrimental to his chakra and he had to constantly protect Kurama from Hashirama's attacks, once more wasting his chakra.
I mean, he did go for a whole day against Hashirama right before Konohagakure was founded.
Madara was far more powerful with karuma, as he could rapidly fire sword/TBB hits, equivalent to double the damage of 1 regular sword hit. Yet hashirama still outgunned him with his senju of 1000 hands. Madara with his regular susanoo would have been doing half that damage per strike at a much slower rate. So its only logical to assume that senju of 1000 hands would have destroyed a regular PS much quicker as it had less of its hands destroyed before they made contact.
here is my logic
Susunoo = bijuu destructive power as madara stated.
1 bijuu + 1 bijuu = 2 bijuu
2 bijuu - 1 bijuu = 1 bijuu
Madara had the power of 2 bijuu, and lost 1, therefor his power was split in half. Then he got the rinnegan and Wood Release.
Hashirama = 2 Bijuu + X because he overwhelmed Susunoo karuma with Senju of 1000 hands.
Edo cancels itself out.