The generic architecture models of the access network can be seen in some pictures:
FTTC = http://postimg.org/image/yavaye8ol/
FTTP = http://postimg.org/image/5heiytevt/
In both architectures, the fibre out of the exchange, as far as the "aggregation node", is common to both models; the "node" they mention could be one of these - in which case it is just part of the fibre spine on the way to the cabinets.
Another node could be a "splitter node", which is used exclusively in an FTTP deployment.
If you want to see what the nodes can look like, here are some manuals:
and some photos from Mr Saffron:
There's also an update to the FTTP architecture that BT are trialling:
My guess is that it is an aggregation node, and part of the backhaul to the exchange, so wouldn't help you directly. However, if ever a "fibre on demand" product became available, you'd probably end up with the lowest construction cost - because it is based on distance to the aggregation node.