Adduxi’s comment about all the cable connections are eventually a shared service anyway is absolutely true. This, in itself should not cause a service issue, unless it was badly done. It sounds as if you and/or your neighbour needs a tech visit to, probably, move your connection in the cab to a different tap.
Now having said that, there is another potential issue, imagine that your and your neighbours connection is fixed, ie it all works for both of you, but they don’t run a separate cable for you? Now further imagine that your neighbour, at some point cancels their VM subscription or moves and they or the new owners want all the cables removed from their property? That will completely cut you off - and there would be nothing you could do about it! Legally, though your neighbours would be obliged to tell any potential future buyers of the house that this is the situation, and that their may be a legal wayleave in place, which would effect the desirability of the property and at least could effect the value! I wonder if they were aware of that when they allowed it (please tell me that they gave formal written permission for your connection to be run from their box), across their property?
Also, please remember the old maxim ‘there is nothing more permanent than a ‘temporary solution’!