I have finally braved the cold weather with my arthritic hands and connected the Tech2. It's showing a few faults, but only one for the fuel level sensor. P0463 which is a short in the wiring. Since the sensor is a variable resistance item, I assume that the "wiring" will include the variable resistor.
However, the Tech2 info is lacking. It only shows one level reading, so I cannot find out which sensor is faulty. That's annoying as the two sensors are wired to the ECU separately.
When it gets warm enough to safely use my fingers outdoors, I will have a closer look, but I think it will be the level sensor itself rather than a loose connection, as the level reading returns to the gauge at the same point each time. Dropping the tank will be too big a job for me these days, so it will probably be off to the garage.