One problem with trying to feed each chicken the same amount is that some chickens can be feed bullies. If you free feed as much as they eat that isn't an issue, even if you restrict when that is available. But trying to manage how much they each eat it can be, Commercial operations face that, laying operations for sure and probably meat operations. They have a solution.
Provide enough feeder space so each and every chicken can eat at the same time. When they are hungry spread the feed out to all of them. They'll eat until it's gone as long as it's not too much, which means a few feedings a day. The bullies will be too busy eating to keep others away.
You'll have to work out a system of how much at a time and how often, but maybe another tool to keep in mind when coming up with your feeding plan.