My theory is Zoro's dad is what made yamato want to free wano and want to be oden. He porbably was killed by kaido himself or king. Either way Zoro will seek revenge. Either from kaido king or both.
Thats probably why zoro and yamato didnt meet yet
What I find strange about all of this is that Yamato doesnt know anything about the other Kuzuki member (in fact she had no idea who Momosuke was or hyori too). So the only charther that she knew about is Oden which she never met before.
She didnt know how to read, but we know that when she encounter Ace, she knew about Oden.
If for some reason Yamato would encounter Zoro and would instantly link to someone that she met in the past, I would take your theory with a different light.
So far Yamato has 4 connections: first with Kaido then with Oden then Ace and last with Luffy. It kind meh dont you think, a character that spent over 20years in Wano we know only this connection. I hope there is more.