If local area was specified, it would alleviate all these issues. For me, local area includes for example Beacon Fell or Nicky Nook, possibly Parlick...but that's because these are my local hills for running on. They are all in Lancashire - but I would consider a drive to say, Darwen Tower or Rivington Pike to be too far. And certainly not the Lakes - not even the same county (or Tier most of the time). Think the "once a day" exercise rule is a bit daft. Firstly, what counts as "exercise" ( a 200m walk to the postbox and back?), and why is it a problem anyway? Just muddies the situation further.
Can't understand why the Govt can't just say "within 10 miles of your home" or similar. Then no excuses if you're caught further out and easier for the police to be seen to be treating people fairly. I think the reason this isn't specified may be that to the majority of Westminster MPs, outdoor exercise isn't really something on their daily radar?