You are correct with all three statements. I only feed my bees when they are not full strength hives. I do not strip them of all their honey, and I use it at times to capture swarms.
Honey is extremely expensive compared to cane sugar or corn sugar. It is my understanding you can boost a hive’s output by supplementing their nectar with plain old sugar. To boost your honey output you gain more hives, but there is only a finite amount of nectar out there accessible by the bees. So when you reach the point where you have more bees than the land can support, you start feeding them corn sugar. The bees will convert the corn sugar into honey just as they convert flower nectar/pollen into honey
Am I correct on this or what?