With regards to Mace vs Palpatine, there's probably no point in rehashing the same old arguments regarding whether or not Mace's disarming of Palpatine was legitimate; since the fight is never shown from Palpatine's perspective, there's no way to prove his intentions one way or the other. What we do have is Mace's perspective, and what can be said for sure is that, even taking the most generous possible interpretation for Mace, blade-to-blade he'd reached an impasse with Sidious:
Then, after sensing fear in his opponent, he made to take advantage of that moment of weakness and score the decisive blow:
That's the questionable bit, though, since Palpatine suggests just afterwards that it hadn't been his fear and hesistance that Mace had sensed at all--but rather Anakin's:
Even if we disregard the legitimacy that the narration lends to the claim, and assume that Palpatine was just bluffing, Mace still wouldn't have bested Sidious had the contest continued. Once again, impasse is the most favorable possible interpretation:
All of this is pretty irrelevant to the topic at hand, though, since Mace's contest with Palpatine is the outlier. His sole feat that suggests parity with Yoda amongst the wealth of them that he has, performed under clearly extraordinary circumstances. For those who aren't aware, Mace's fighting style, Vaapad, is a technique that uses negative emotions, like the Sith do. When Mace fights, he flirts with the dark side, with his discipline--his diligence in holding himself back--being the only thing that prevents him from falling to evil like Vaapad's other practitioners did:
Like with the Sith, Mace's strength is rooted in the intensity of his passions and negative thoughts, which is crucial to note, because his inner darkness is explicitly at an unprecedented, all-time high going into his fight with Sidious:
This is directly referenced in the fight itself. Mace fights for his "secret love," casting away his Jedi restraint and allowing himself to be swallowed by the dark, in contrast with his previous disposition:
Given that Dooku is not the Supreme Chancellor of the Republic, and that Mace is (presumably) not coming into the fight fresh after having his heart "shredded, burned to ashes, and fed to him," it's fair to assume that his performance here will be more in line with the rest of his performances, rather than the outlier that is his contest with Palpatine.
Three convenient examples of Mace's baseline performance are his fights with Sora Bulq, Assaj Ventress, and late-CW General Grievous, three opponents whom Dooku has also fought. In none of these fights does Mace outperform Dooku to any significant degree. His back and forth with Sora Bulq could easily be replicated by Dooku, who easily dispatched Sora while simultaneously fending off Tholme. His overpowering of Ventress (which in the Official Fact File is suggested to have been a demonstration of "all of his skills"
could easily be replicated by Dooku, who repelled Ventress and two high-ranking Nightsisters at the same time while blinded and drugged.
