A coon working the trap is not cage shy but cage smart. There is a big difference. That coon type you mentioned Kirk is either cage smart or dumb as snot. Eric Arnold and I talked for at least 2 hours one night not long ago on baiting cages. The way a person baits a cage can cause the coon to work the back sides, back and top of a cage rather than the front. By a simple baiting technique change they can get those coon to the front of the trap. the dumb go right in, the smart will still play with me unless I get them thinking about other things. A trap smart coon knows what is going on with a cage. they know what is the norm. one of the tricks I do with the above mentioned type of coon is simply turn the trap around so the open door is now where the back of the trap was and put the bait there where it was and some inside the back. Most people only bait the back of a trap, so why wouldn't the coon go to the back of a trap. If you ever watch a coon work a cage that is baited only in the back they will most of the time go to the downwind side of the trap and wind the bait. If they want the bait or lure then they will work the trap from that spot because that is where the bait is. Now I am going to shut up now because Paul tells me I give out too much info for free and I don't want him yelling at me any more.
The trap Wendall was using was this trap. It was designed purposely years ago to catch a circling coon (basically designed to do what you described but the trap does not need to be turned around). By a double doored trap between the house and this trap the circling coon would be after the bait at both ends leading him into the double doored trap.
Here is a beaver set with the lure only in the large cage. The beaver can get to the back of the large cage where the lure is by going through the double doored cage with no lure in it. That is how he got caught. Same principle as above.
The double doored trap Wendall caught the coon with was a 10x12x30 swingdown doored fast door trap.