Can you revert? It corresponds exactly to the PROW map you linked and the definitive statement. It describes heading south east from the bridge by Brook House to join the county road (Hawkshead Road) just to the west of The Folly / Folly Arch, exactly the route it was mapped as already. It's even visible on the central and eastern field on Esri, plus it has gates mapped. What more evidence do you need that it's a real footpath?