Revisiting this issue I flagged up last year - https://cycle.travel/post/1334

cycle.travel is still routing through the gate, even though openstreetmap is now indicating there is no access and labelling the track beyond the gate as a "Service Road" and  "Allowed Access" as "private".

See here: https://www.geograph.org.uk/photo/5958769

and here: https://www.geograph.org.uk/photo/5958767

Does the openstreetmap info need changing further?

https://www.openstreetmap.org/edit?node=295682810#map=19/53.06594/-4.28471