Hyperbole aside, past infections do not mean you're immune. My girlfriend got Covid last year and then about a year later again this past spring. The first time she took a couple months to feel basically back to normal. This time it seem like it'll take much longer (though we're still hopeful for a full recovery). The second case was pretty close to calling for a hospital admission. She's 28 and generally very healthy (aside from her body's apparently affection for corona viruses).
I don't want to directly argue against your point that vaccination shouldn't be required, but I just wanted to address your side point about previous infection. If you're able, get the vaccine even if you've been infected. You should be doing for yourself and you should be doing it for others. Really you should just do it.
Given my first sentence, I see how you could interpret me as saying that. But I never intended to say that and it's definitely not true. In fact, strictly you're _never_ immune in the sense that you can't actually be infected again. Getting the vaccine decreases the likelihood of getting the disease even if you've had it before. That is good for you and good for others.
Complete hyperbole. Vaccination increases the duration of reinfection immunity. Moreover, significant proportions of people suffering long COVID feel an improvement after vaccination.