No that's not the same seeing as they were rivals so comparing Kakuzu is nothing like the same try again.
It doesn't matter if they were rivals or not. Just because two people are rivals does not mean you can start giving them each others feats. Kakuzu was sent to assassinate Hashirama and fought versus him. He survived that battle. By the logic you're using Kakuzu must be on par with Hashirama if Hashirama
couldn't kill him either.
Even with all of Hashiramas feats that would shit on Kakuzu I can just assume that Kakuzu must have some type of counter to them and can stalemate Hashirama because he survived against him off panel, even though all his feats on panel show otherwise.
Thats what you're doing with Hashirama and Madara. Your giving Hashirama all of Madara's movement and fight speed feats from a fight that occurred off panel because "they fought on par" when you don't know what the situation was of that fight. It was mentioned that Kinkaku and Ginkaku fought Tobirama off panel several times and beat him up. I guess there speed is equal to his, even if their feats say otherwise.
Using off panel fights to justify someone having whatever skills or feats will always fall under speculation and holds no weight in a serious argument.