Future Events Why ZKK narratively makes sense.

Yes, but that does not mean Kaido cares about them.
Let's say he knows Worst Generation term. The thing is he probably only knows about members with who he interacted directly. And for example Killer, he fought with him but probably he didn't even know his name.
When he read the article about Luffy defeating Doflamingo, he only saw Luffy and Law names (and Law I'm not sure now). Those are the names he memorized. Not Zoro or any other Strawhat.
What you think Kaido will say to Zoro:



How Zoro will respond:

 

stairs-kun

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Zoro didn't even exchange any word with Kaido and now he is the one to kill him? XDDDDDD
No, what the heck, they weren't even in the same place or in front of each other, Kaido even don't know about his existence!
Kaido does. Kinemon said that if Zoro caused trouble Kaido would hear of it, and guess what he caused trouble.
 
Yes, but that does not mean Kaido cares about them.
Let's say he knows Worst Generation term. The thing is he probably only knows about members with who he interacted directly. And for example Killer, he fought with him but probably he didn't even know his name.
When he read the article about Luffy defeating Doflamingo, he only saw Luffy and Law names (and Law I'm not sure now). Those are the names he memorized. Not Zoro or any other Strawhat.
The fodder in Kaido’s crew clearly knew who Zoro was. They had that whole scene with the funny drawings when they recognised Luffy, Zoro, Kid and Killer and saw them as monsters. I’m pretty sure the average person in the one piece world knows all 11 of them by name. Kaido definitely would.

I remember someone hyping Cracker up by saying he had defeated Kid and Urouge.
 
I will be convinced if you had some direct links between Kaido and Zoro.
Here it's just several indirect links.
Zoro has herits of Oden's sword who has fights Kaido
Zoro wants to avenge Yasuie who was Killed by Orochi who was himself killed by Kaido.
And so on.
They have always someone between them.
I mean Luffy and Kidd have less hints but they are far better than all you said, same goes for Law.
 
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