https://news.walla.co.il/item/3424990
This is just so typical Israeli SOP. Everything done at the last moment, no-one notified. Total mess.
The person I was inquiring for, made an appointment for today, showed up at said location. MADA wasn't there, the local village arranged for Novolog to administer the vaccines instead. However, they didn't know what to do with non Kupat Cholim members, and after a while just took the contact information of those and sent them home telling them that they will be contacted.
It seems like Harel now sells visitor insurance to Israeli citizens that don't live in Israel on a daily basis, that includes a Kupat Cholim membership card (there is waiting period of a couple of days after purchase before Kupat Cholim can be accessed). It's unclear if that will help with vaccination or a green passport.