Sounds like a bad sender...
Not familiar with the Bentley test but from what you describe I'm almost sure it's the sender.
Should be able to get one from a salvage unit. Not a hard swap. You'll want to do it when the fuel level is really low and you'll need 2 fuel line type hose clamps. (The sender and fuel pump are connected and come out as a unit; you'll need to undo the oetiker clamps and replace them with the fuel line clamps).
I had a bad sender and it pretty much worked as what you've described here.
Jeff
Bellevue WA
90 535iM - not much stock remains. 3.7 liters, ported head, cammed, 3.73 diffy, M5 brakes, MAFed, yadda yadda yadda
86 Porsche 951 - Track Toy