Openreach Native FTTP outside my front door but not offered

I live in deepest, darkest rural West Wales, just outside Llandysul. This town has FTTP to almost all properties. The lane on which I live has houses connected to BT FTTP and circa 1Gb is available. You can see the aerial cable as it comes down the lane. This cable extends all the 2 miles to my garden. The pole is in my hedge!
I have looked at the mapping on "thinkbroadband" and indeed, the network as Native FTTP is there for all to see, all over Llandysul and along my lane to my house.
Yes, you guessed it: BT say no-can-do. Why on Earth not??? The house just down the lane has it on the same cable but I can't have it? The only difference is that the postcode boundary is between us. Surely it can't be just an administrative and arbitrary division?

There is an Openreach contact page where you can select "I cannot get fibre but my neighbours can" as the reason for your enquiry:

https://www.openreach.com/fibre-broadband-availabili...

Does the pole in your hedge have a CBT on it? (A black box with a number of nipples where the individual customer connections go).

Thanks for the link, I've used it.

The "black box" atop the pole is a large but stubby tombstone shaped one that I am led to believe is not the customer plug in box with individual connections but in fact a node, or a distribution point for the fibre. A customer distribution box would be added when connections are required.
That being so, it could well be that Openreach got this far and then got bored and went home.
The cable out to us has many gigabyte connections but are in a certain postcode. We are JUST over into a different postcode. The maps on this forum AND Ofcom both confirm five properties (including mine) ARE connectable but the vast majority of the postcode are not. So, if the Openreach database is queried by just the postcode then in general no one is connectable yet in reality, a small handful ARE.

In reply to a post by podwebdes:

A customer distribution box would be added when connections are required.

No, it doesn't work like that.

If your property is planned for FTTP, then a CBT is installed (before any orders are placed). And conversely, if your property is not in the footprint of a CBT, then you cannot order FTTP - period.

CBTs aren't installed on request - except for FTTP On Demand, which will likely cost you upwards of £9,000+VAT.

CBT's are fairly unmistakable. They look like this:

These are the Commscope/Corning OptiSheath variety:
https://www.youtube.com/watch?v=Yyn4PgFbZME

You often see these fibre locks on the poles too for securing the fibre as they come off the span:
https://www.comtecdirect.co.uk/product/opt-fibre-loc...