I turned the power off to the pump and let the water run until it went to nothing. The main gauge on the line in the video also now shows 0. Two of the tanks are showing 30 psi and the last one just under 35 psi. It's written on the tops of the tanks that they were installed in 2014 at 28 psi.
The diaphragm is attached at the lower side ring. You could try knocking on the sides of the tank to see if there appears to be water up there with no water pressure.
Looking at the pressure gauge in your video again, I note there is not bouncing around on the pressure gauge. This makes me wonder if the problem could in fact be the pressure switch... I don't see how that symptom could be from the pressure switch. Maybe the nipple to the pressure gauge is partially clogged, making the gauge not respond to quick pressure changes.
So if it is not clear already, I find this confusing.
How is the precharge higher now than when the precharge was set? Either the tire pressure gauges had very different calibrations then vs now, or water has leaked above the diaphragm.
Note with the water pressurized to over 40 psi and the pump not running, the air pressures and water pressures will be about the same. If they are not, that indicates that the water pressure gauge and air pressure gauges are not calibrated the same. It will not be exact, because the water pressure gauge is a little lower than the diaphragms in the tank. So if the diaphragms are limp enough, the water pressure would read maybe 1/2 psi more.