So. . . 1) Is this a potentiometer (variable resistor) or a solenoid? Seeing that it looks like it is connected to the toaster dial for depth of "toastness", it seems like a variable resistor (but I am not an expert), 2) Either way, what is the normal Ohm reading for this device? 3) How does one test the potentiometer? Can such test be done while installed in the toaster or must the variable resistor be completely removed from the toaster before testing testing?

You might not know unless you take the camcorder shell off, but in my case, the flex ribbon completely split at the hinge of the flip screen and I could see the severed flex ribbon poking out from the hinge.

You can get a replacement touch screen flex ribbon on eBay at: https://www.ebay.com/itm/302055909485 . I bought from this seller and the ribbon will absolutely work in the SONY 40x Optical Zoom, DCR-HC52 model camcorder to repair a touch screen that is no longer responsive due to broken flex ribbon/cable. eBay description claims same ribbon works for SONY models: DCR-HC37E, HC38, HC52, HC54, HC62, and HC37. I just repaired my HC52 model today (March 19, 2023) and can only vouch for it working in the HC52 model.  Repair is tricky, if questions on how to repair, you can e-mail me at rwg215@gmail.com  There is one hidden screw under the panel that has the “Nightshot Plus” switch. You have to open the cassette bay to get that panel off after unscrewing the visible screw on top of the panel and once slid off, you will see a hidden screw under that panel. There is also a hidden latch in the touch screen rotating hinge that is easy to miss and if put back wrong, it may prevent your screen from rotating.