I don't use community fridge or foodbank but I do use olio. In fact I volunteer for them as part of the fwh programme and keep a few bits from my collection (fwh can keep up to 10% of their collection. In reality I choose less than 10% but do end up being left with bits no one else wants)
I am not poor
Our food bill has gone down significantly through using the app. We are keeping food out of landfill (freezer space is a must) and as a by product my shopping bill has halved. Last month I shared over 2000 listings with 94 people. My up to 10% is for picking things up, photographing them, listing them, allocating them and waiting for people to collect them.
Olio and community fridge food is donated by shops like Tesco and sainsbury and is items they cannot sell e g use by that night or best before that day - it gets donated rather than what they used to do which was put it in a skip out the back and pour bleach on it to stop bin divers. Olio fwh take it home, list it, put it in the fridge and hand it out. Supermarkets usually donate best before to charity and use by to olio as we are better able to distribute late at night. With olio it is the stop before the bin as it is illegal for use by food to be given out after midnight on the date.
The items people buy and donate (pasta tins etc) is the foodbank food and that is only accessible in dire need. That is the difference.
Use olio, use community fridges - it is a fantastic initiative to keep things out of landfill. Most community fridges are partnered with an actual food bank and the donations people give for their items enable things they need to buy for the foodbank side e.g. rice, pasta, cereal - stuff that is never donated by supermarkets but is much more needed for those who need to use foodbanks who may not have access to cooking facilities.