They want everyone to get the vaccine so that people aren't missed who had a mild case.
Right or wrong, this is the reasoning being shared where I live.
i feel like "mild case" (also) subtly refers to all of the folks who said "oh, yeah, i had a cold in december 2019, that was probably covid. i've had it. no big deal."
That's going to be tough[1]:
> Yes, you should be vaccinated regardless of whether you already had COVID-19.
[1]: https://www.cdc.gov/coronavirus/2019-ncov/vaccines/faq.html
The article talks about how the experts on this field "presume" we'll need boosters to get antibody levels high enough to combat the worse mutated variants, and of course, it could be a bit of an arms race between it mutating variants that are better against our antibodies, and us boosting our antibodies with vaccines to trigger responses and keep blood levels high.
Furthermore, there may not be "official documentation from your gov't and official health body". I was tested & 'treated', but my wife had exactly the same symptoms & recovery without bothering with doctors (seriously, it was really mild), so there is no documentation and no apparent process to procure such documentation.
"Any sufficiently advanced technology is indistinguishable from magic." Seems that, to most people, Covid & vaccines are magic: the disease is perceived little differently from evil spirits (sparing some and slaying others, with nothing corporeal to perceive & avoid), and the vaccine is a tangible talisman mysteriously able to ward off such spirits (by a mere prick from a costumed wizard wielding magic potions). This leaves most people, unable to really grasp the objective mechanism of vaccination (being a simulation of actual infection, to teach the body to fight it off), with the only objectively perceivable act they can grasp in the issue: vaccine injection. Hence many dismiss the near-spiritual notion of "I contracted it, survived, and am now immune - without intervention by wizards". Thus, to present it a bit over-the-top, recovered and vaccinated are not treated the same by those not professionally involved in medicine.
As can be concluded from my post: Where I live vaccinated and recovered are treated the same, at least for now.
> Furthermore, there may not be "official documentation from your gov't and official health body".
Where I live there are laws what is permitted in super markets, restaurants, bars etc. And there are recommendations from the official health body that is responsible for the Covid topic. Often they overlap, sometimes they don't. But I think currently both agree on the vaccinated vs recovered point.
All that is said just to sync up on facts. I'm not trying to convince anybody of changing their interpretation or opinion.