Does my source matter or will you disagree with the point I'm making anyway? As I said, it is recollection of news clips and twitter from CDC officials/accounts, it would take some time to find and I'm not exactly willing to go through the effort if you will not first dispute the point.
Show me the source then we'll see lol. I can't imagine the CDC pushing out informational materials that claim complete protection/immunity from any of the coronaviruses.
Of course its not that, its: "We eradicated Smallpox with the vaccine, get your Covid shot so we can beat Covid!" In an infographic which makes it impossible to search for.