Aww that's a shame - not like the old days when you could tap into a phone connection
I think you have a rose-tinted view of the past, though I note the
The majority of the distance between a property and the exchange, perhaps 90% on average, is covered by E-side cables. These are the ones that are 400-1000 pairs, and pressurised to prevent water ingress. BT would never tap into one of these at a random location ... that is what the green PCP cabinets are designed for.
Fibre is no different. The main fibre spines can be made of cables with 288 fibres within, supporting up to 9,000 premises, and are very equivalent to E-side cables. BT wouldn't randomly tap into these cables to access a single fibre. Instead, they strategically locate a node with lots of splice trays for that purpose - the aggregation node.
E-side copper, and fibre spines, are both too valuable, too important, to randomly tap into.