I have the same problem. I did an experiment this week. I uncapped a super frame (i.e. took the wax off of both sides). For my test, I just put one uncapped frame in a super at 4 pm. By 8 am the next morning the super was completely empty. They moved all the honey down to the deeps.
I am going to do it in the evening to discourage robbing. Maybe not a full super at once.
We've received a lot of instruction about reducing our hives to two boxes for wintering over and providing sufficient honey for winter months. But what it you have Box #3 super on top the hive with multiple frames of 50% capped honey and uncapped nectar still? I've done a bit of hive sharing to even things out but still have a lot of honey/nectar frames in upper box #3.I've remove the queen excluders in hopes the bees will continue to either cap the nectar or start moving it down where they need it.
Any thoughts? (sorry I didn't take any pics)