Her interactions with Ace were lovely, and she never once told Ace that she was Oden:
Ever since 994's "My Name is Yamato", her being Oden has only ever been used (and thankfully lightly) as comedy.
The fact that it was absent during her flashback with Ace is telling; Yamato had not yet undergone the character development to leave Oden behind. So I'm guessing it was always an element Oda intended to have her quickly evolve out of.
Oden would have done this is fine — I mean he is her idol — it's fine to want to emulate him.
The reason Yamato refused to compromise on Momonosuke and Shinobu. The reason she endured an endless barrage of cannon fire while continuing to decimate Sasaki's Armoured Division was exactly because she witnessed Oden boil alive for an hour while ensuring that not a single hair on any of his vassals was singed.
That unyielding resolution — that defiance of Oden's — is what inspired Yamato, and it's why refuses to back down. That same resolve Oden has, gives her strength.
When Yamato is not trying to literally be Oden, her Oden worship works
very well. It's intrinsic to her character and it's not something that needs to be discarded.
See this scene from her conversation with Ace?
It's inspired from her Oden worship, but it's organic.
Even then, there are decisions that she has taken as Yamato that had nothing to do with Oden.
When she disowned Kaido, it wasn't because it's what Oden would have done, it's because he was a father that was willing to kill his only child:
She wasn't crying because Oden would have cried.
When she declared: "let my Father die", it wasn't because that's what Oden would have done:
Even her
desire to face Kaido is not solely because of Oden.