She never fought any Akatsuki, which doesn't mean or lead to the inference that she can't. Whether she could or not is speculation though I would not say the list is long of those she could possibly defeat, by my speculation. Either way I'm not going to debate that she's best utilized as a support type medical ninja in a group, which I think you'd agree with at least, even if not the former regarding her and the Akatsuki.
During the Nagato invasion of Konoha, she healed as much of Konoha as possible simultaneously using Katsuyu as a conduit, thus taking a non-combatant support role. I thought it was pretty epic, and one of the greatest Hokages' sacrifices. What you want is for a ninja to maximize their utility, which Tsunade does even if it's not always in a combat role.
However, as she said in this chapter though, what makes her unique (albeit Kabuto can regenerate too. For example, see him eating Naruto's first Rasengan and living.) is her mitotic regeneration technique, which grants her the flexibility of being offensive and those taijutsu blows of hers are deadly
if they land. Apparently they're stronger than the Raikage's raiton armor blows, albeit I'm not sure if that applies to his specific nin-taijutsu techniques like his Raiga Bomb, vs. a straight up punch comparison for example. I just don't know. p=mv, F=ma, but this is Naruto, so just throw physics out the window, lol.
I know you said Hashirama lacks the feats vs. the hype and to an extent that's fair and valid. We've literally seen nothing from the living Hashirama, and the ET Hashirama and Tobirama were far from impressive against an aged Hiruzen. However, we're working with very little here first hand, and the best information we have right now is second hand from ET Madara, who witnessed Hashirama firsthand, I believe if we go by John Locke's degrees of evidence. We simply have to weight the evidence by each degree we move away from first hand observation, to second hand, ... I would love to see to Valley of the End fight, and I think it's the most important missing flashback in all the Narutoverse at the moment. I'm also open to any suggestions on how to improve this problem of balancing Hashirama's hype vs. feats.
Alright got to go, some good points across posts.
Peace