The map is correct.  The paths get *close* to the road but do not connect it.  And the fence is mapped too.

Routing apps will never send you here.
I understand people might be mistaken by simply looking at the map and betting there will be a connector somewhere.  The confusion does not come from the map, we just map reality.

For clarity, I added access=no to the last unconnected part, it won’t do any harm and might help to raise attention of map users.