I concur, the available evidence indicates that naturally acquired immunity works at least as well as vaccination [1][2].
There are biological reasons & theories why naturally acquired immunity may be more robust to variants (immune system learns to target a variety of markers/proteins of the virus, compared to the highly targeted immune response to the spike protein based mRNA vaccines). However to my knowledge there is no conclusive evidence of this yet in the literature on SARS-CoV-2.
Does it? The evidence I've seen indicates that it's robust, but not necessarily superior to vaccines.