There is absolutely nothing that links Zoro and Kaido from a Tiger vs Dragon perspective, symbolically. The lore surrounding the mythology fit Luffy and Kaido way more than it does Zoro and Kaido.
Of course there is:
The mytho of Dragon vs Tiger in Japanese/Chinese is based around the Dragon representing the emperor who has taken complete control over the lands completely, the Tiger challenges the Dragon (emperor), which then leads to a balance. Tiger is the force that challenges the Dragon. So with that in mind let's look at Wano & Roronoa.
Wano as we know represents "japan" of the one piece world. Japan is often represented by the Tiger, but specifically the samurai. In Wano the strongest Samurai are from the Shimotsuki family. The Shimotsuki family is connected to Ryuuma, as they were taking care of his grave. Ryuuma is known to have slain a Dragon in the capital of Wano, a feat that was so legendary that it's still talked about today after hundreds of years. Ryuuma also defended the country of Wano from other entities as it's strongest warrior pirates and world nobles alike. Ryuuma looked a lot like our guy Zoro here, they even met, Ryuuma even passed down his legendary blade on to Zoro which can be interpreted as "passing of will" if one wants to. Zoro also has relation to the Shimotsuki village as he grew up in the village and Dojo that was founded and ran by the Shimotsuki. He also has a sword that was created by the Shimotsuki family. Then there's that dude from Ringo who looks a lot like Zoro. So it's clear that Zoro has some relations to the Shimotsuki, and to a good amount of fans he's all but confirmed to be from the Shimotsuki family... which would make him a samurai of Wano.
After Ryuuma's passing we then come to Oden who became a figure similar to Ryuuma in that he became the strongest Samurai of Wano and was going to protect it from outside invaders. He also had a clash with a Dragon, but his clash resulted in his defeat (even if not fairly). Now Zoro has inherited one of his swords, which was created by a Shimotsuki. And then Zoro made a strong connection with the most loved dude by the people of Wano, who was rumored to be the next in line for Shogun had Oden declined or not decide to become Shogun, Yasu. During Yasu's execution when Yasu mentions that "For 20 long years, no one has been able to take Kaido's head", the panel which it is said over is a panel that focuses in on Zoro specifically.
So now let's look at the symbolism of Dragon/Tiger:
-> Ryuuma's biggest legend is him slaying a Dragon in the capital of Wano, even bigger than defending Wano against pirates and etc single-handly. He represented Wano as it's strongest samurai, Wano which represents Japan, Japan which is often represented by the Tiger, in specific the Samurai.
-> Centuries later, another big samurai raises in Wano, who becomes the symbol of Wano much like Ryuuma. He also faces the Dragon to free his country from the Dragon's grasp. Oden here would be the "Tiger" that represents Wano against the Dragon, much like Ryuuma.
-> Decades later, we now stand where a man who has connections with the strongest samurai family of Wano. Who inherited Ryuuma's sword & Oden's sword, both of whom had fought a Dragon. His past unclear, but he witnessed the death of the man who was beloved by all of Wano, and could potentially want vengeance against Kaido. Now he will represent Wano, as it's strongest samurai and challenge the Dragon.
-> Oda has hinted at Zoro having a moment where he will lead the samurai back at Zou. Then as Wano goes on he continuously impresses samurai after samurai, even impressing the scabbards and a blacksmith of some top notch swords.
The Tiger challenging the Dragon that rules all, is pretty much the actual mytho symbolism here, and it's best represented through Zoro vs Kaido. Now if Zoro ends up not being related to Wano and what not, then yes all of this is moot. But heavy evidence suggests that he is, and it is the route that Oda will be taking with Zoro. This is not just a mythos based argument however, but an in-manga symbolism + mythos symbolism.