I think the conspiracy theorist label is associated with common patterns (believing in a cover up in cases where there's no incentive / the cover up would be more expensive than the crime / the evidence would be impossible to cover up, etc) but in this case these patterns don't apply.

The lab leak theory was extremely plausible even assuming no secret conspiracy at all. Lab leaks do happen, that lab did do gain of function research, the State did shut down investigations, etc.