With the correct infrastructure and improved public transport, and incentives to use it, or bikes (eg, increased parking costs in town), the zones could work. The end result could be good.
Introducing it as it is now, restricting movement with poor public transport, fines for moving out of your zone, does indeed sound like hunger games. There are cities I’ve been to where pedestrianisation is logical, you can park on the outskirts and use cheap and frequent public transport, which locals also use because it saves the faff of driving and paying extortionate prices for parking. In these cities though (apart from the pollution zones in London) no one is limited to a set number of times they can travel out of their area, they don’t need a permit to travel, don’t need to appeal for a permit, which as someone upthread said could be refused, or further limited.
Using these methods is about control, whether intended or not. If it wasn’t the council would set about improving things before limiting people to smaller areas, and would likely gain the same end result, but without the need for permits, applications of said permits, and policing people’s movement.