There was no leak at the duct tape location. I found a leak in the Schrader core valves. Whether it made it through the brass service valve caps, i'm not sure.
When I arrived at the site, the unit was going off on high head. Apparently it was cycling like this "on and off every few seconds" for at least a day or two. I pulled probably a pint of dye out of the system. There were noncondensables in the system and 2 lbs. excess refrigerant. Apparently this knucklehead was determined to find a leak. He cut a slit in the armoflex a ways down the lineset and poured dye in there. The dye was then dripping off the pipe right at the coil connection and he told the home owner; look, it's leaking right there, you are lucky you didn't loose it all. His prognosis was that she needs to have the coil replaced.
This guy is either dumber than a box of rocks or a knucklehead or both at the same time with a little bit of "you know what" mixed in. The home owner is a sweet elderly lady who just loves everyone and believes anything she is told. I have not seen anything like this before and while I'm giving the benefit of doubt and trying to find logic in what I see, there is none here.
Scary huh! They are out there.