Also probably true without the vaccine first, but the initial survival rate without vaccination is a lot lower.
http://www.hopkinsmedicine.org/health/conditions-and-disease...
Here you can find linked three studies by the CDC that support the idea that natural immunity is harder to get and less effective (besides, as others have said, there's the non trivial chance of side effects or not even surviving the virus)
I don't care about what the "experts" think or say, I care about studies.
Update: https://www.nature.com/articles/d41586-021-02795-x#ref-CR5 reports many studies that claim that we should be vaccinating people after a natural infection to get "super immunity", but that is different from what the OP was claiming (natural immunity > vaccine immunity)
https://www.medrxiv.org/content/10.1101/2021.08.24.21262415v...
Source? I think there's plenty of peer-reviewed scientific articles claiming the opposite.