Remove the cover and bang a screwdriver handle sharply against the tube below the switch to jar the electrical contacts. The switch made the kick off click at psi but the pump was still running. That is all i can think of besides a faulty key t most likely its a pressure issue fuel injection needs a certain amount of pressure to fire the injector so when you change tanks the pump has a pressure change so the pump starts to keep up.
Or your relay to the fuel pump is sticking.plugged fuel filter. Well Pump Troubleshooting and DIY Repair The switch then powers up the well pump. If the switch is ba it wont start the well pump and you wont have water, so testing the switch is your first step.
Pressure Switch Troubleshooting
The pressure switch is composed of an internal spring mechanism that is directly connected to a set of electrical contacts.