I've gone back and had a look at his.
Found video of on YouTube that confirms we're dealing with gates that are not locked.

https://youtu.be/5N8bW8Tzi74?si=eFzh8OeIWIiNCFMR&t=56

(questions about observations of facts in youtube being an acceptable source)

I also managed to create an Overpass Query to show "locked=yes" on all PRoW designated ways.

https://overpass-turbo.eu/s/1Nb7

They problem tags mostly appear due to editing by the National Trust