I'm perhaps being hyperbolic when I say widely criticized, but here's one critical take: https://twitter.com/DGBassani/status/1431390188924768269

Or take a quote from this article: https://www.science.org/content/article/having-sars-cov-2-on...

>“The biggest limitation in the study is that testing [for SARS-CoV-2 infection] is still a voluntary thing—it’s not part of the study design.” That means, she says, that comparisons could be confounded if, for example, previously infected people who developed mild symptoms were less likely to get tested than vaccinated people, perhaps because they think they are immune.

I don't think your point 2. should be taken for granted. From the conclusion of the contested study:

>Individuals who were both previously infected with SARS-CoV-2 and given a single dose of the vaccine gained additional protection against the Delta variant.