Maybe I can learn something here. These are pictures of what I was originally measuring. It's a steady DC level with a transient when it's shut off. The 10 ms. and 500 us. pictures are from the same single sweep, displayed at a different horizontal rate. I need a large vertical scale to capture the transient. In the 10 ms. picture the first unexpected item is the horizontal line being so "fat", which I didn't understand at first, and the second item is the max voltage reading of 15.2, when I knew darn well it was 13.5 . With the display changed to 500 us. the vertical noise starts to be evident. The 3rd picture, 1 us. sweep rate, is a different capture but shows the noise more obviously.
I was expecting to measure the starting DC level using the peak voltage display. Average voltage doesn't work because of the level change. I could combine average voltage with cursors, but in this particular setup, it's a whole lot easier to just use a voltmeter. I first assumed I was picking up some kind of environmental or power line noise. When I ran the scope with terminators on the inputs and from a different power source I began to realize that the inaccurate reading is from the scope itself.