Roger, thanks for your reply. You are exactly the type of response I was looking for.
The issue would be if the powering house becomes, for example, a second home or the owners, i.e. you, go away on holiday and (for whatever reason) switch off the electricity at the fuse box.
The people next door have no access to your property and have a big problem.
This is the scenario that I am trying to get my head around. Is this scenario taken care of somehow in the deeds? Thank you.