The article referenced by GP cites the same paper mentioned in a different comment, see that thread for some additional discussion and citations that provide counter evidence: https://hackernews.hn/item?id=28108039.
In summary, there is currently no scientific consensus that vaccines provide 'better' immunity compared to natural infection. There is evidence that they induce similar but subtly different immune responses.
Nobody claimed there is currently "scientific consensus" (but there is currently a lot of scientific evidence). What we're taking issue with is the unfounded claim that 'natural immunity' must be better than vaccine induced immunity.
The idea that vaccines provide more antibodies that fight a wider variety of COVID can indeed suggest that vaccines create better immunity. The writer here makes a firm denial of this and then uses their denial to offer a fatalistic take on what is possible to show about vaccines with this paper. Of course, outside of this paper there are very simple studies that have been conducted which contradict the bias illustrated here.
Instead I believe it to mean "It cannot be evidence that vaccines provide better immunity than natural infections".