Yes, the cover up and hostility towards the lab leak hypothesis may actually be the strongest evidence for it.

Which is to say, not much. But we have no evidence for the natural origin story, and it's a somewhat strange coincidence that the initial outbreak was near a lab studying these very same kinds of viruses. Granted you might put such a lab in places where there are lots of bat viruses to be found, but that's still a much, much larger area than the city of Wuhan. The closest known wild virus came from a source 800 miles away. Draw a circle over a map of China including both Wuhan and that bat cave and you can see that quite clearly.

Combine that with the fact that Sars cov1 escaped labs in China to infect researchers not once, but at least twice, and the Bayesian calculation swings heavily to the lab leak hypothesis.