I agree, but it's also straight up an inaccurate statement. No one knows for sure if natural immunity from Omicron will protect from future variants. Given that having Delta does not make you immune to Omicron, I think it's straight up lying. My dear friend just had Delta in early December 2021 and got Omicron in early January 2022.
Immunity also wanes, and we have no idea if someone who had Omicron will even be immune to Omicron in 10-20 years.