Hi Michael,
Looks like I did draw a construction line there. So with the regular rotate, it only disappears if I hit the snap points of the object at that axis point. Straight snap does still hit on the x and y axis though.

For the Axis rotate, it snaps when I hit the pick line, or the opposite Tan side of that pick line.

I am on the computer that had issues with running commands from the command entry point. I will go test it on another computer and if it is the same, I will make a quick video to illustrate. If not, I'll have to apologize again and remember to test my issues before I report :O