Footways need to connect to the fence, otherwise they are not actually overlapping for routing purposes. The "internal" parts should be marked private. Also, I only added the fence approximately from cadaster, I don't actually know that it is correct, so I didn't do this before.

If none of the four footways have a gate, does that mean you can only enter by foot via the road/street gates? That doesn't seem right, but may be.

I also see an informal path on the aerial along the southern fence.