> And next-to-noone is checking the ID (which in theory would be required to close that point)
In Germany, stores and restaurants do check the ID now as well as actually scan the certificate - it took a couple of weeks and a bunch of fines being handed out, though.
> And even if the ID were to be checked, all you need to find is one doctor or pharmacist, that is willing to misread your yellow book (WHO vaccination booklet).
The amount of doctors or pharmacists willing to risk their license and imprisonment is thankfully extremely low - the overwhelming majority follows the rules and calls the police upon discovery of fake WHO booklet entries (see e.g. https://www1.wdr.de/nachrichten/rheinland/gefaelschte-Impfau...).
> I'd still say: There isn't much use in the proofing system. Just do vaccinations Israel-style. I.e. have the option to get vaccinated literally everywhere and without our "but you need an appointment" and "but your last dose needs to be 6 month ago" (the latter is getting better).
The Israel-style vaccination system is clearly better than what is available in most Western countries, but it relies on a population that sees getting vaccinated and protecting themselves as a patriotic duty (with the notable exception of the Ultra-orthodox Jews). Offering easy access to vaccinations doesn't help against widespread propaganda or, as we see in Germany, myths of "vaccination dictatorship", "mind control" and other similar bollocks.