the cable to the castle is for broadband internet connection.
A cable for internet connectivity isn't the same as a cable for broadband.
In general, when we use the term "broadband" nowadays, we mean a solution that gives internet access to the masses, cheaply.
However, the castle almost certainly has a dedicated (leased-line style) connection, that it uses for internet access.
Such dedicated links are expensive to install, and expensive to run, but still give internet access. They aren't considered "broadband" (in today's terminology) because they aren't a cheap, mass-market proposition. They are 10x the cost.
The staff told me today that its a fibre cable? but they are still only getting 2-4mbs?
The main limiting factor, for mass-market broadband using copper, is the distance. Almost everyone can afford an ADSL2+ package that gives full speed, but the distance is the limiting factor on the actual speed.
In the leased-line arena, the limiting factor is *cost*. Even with the service provided over fibre, many businesses choose a low speed limit to keep the costs down. They don't really need much of a download speed, and may want more from the upstream. Of course, the speed is usually symmetric on leased lines.
So the council were probably forced to shell out for the installation of a leased-line, and needed to use fibre to overcome the distance limitation, but they can keep the subsequent costs down by running it at a low speed.
We're seeing the same thing in the residential FTTP market, where it is available. The fibre can carry gigabit speeds, but most consumers buy the cheapest package with speeds limited to something considerably lower. KC say most people taking their Lightstream product choose the cheapest 50/5 package.
One of the reasons for going today was to find out if it was an area that Digital Derbyshire were taking resposibilty, which they informed the parish council they were doing. Or whether it is been covered by existing and expected commercial coverage which they now say is the case.
As someone else pointed out: There is 10% who won't be covered, and it will be the trickiest cases that get put aside. Those left out will be made up of a mix; perhaps 5% will be from properties who aren't on converted cabinets at all, but the other 5% will be like you: on converted cabinets, but too far to make use of the speed.
DD are obviously aware of the first 5% group - for whom no NGA work will be done.
Eventually, DD will realise that the second 5% group exists - and that it is being created as the leftovers of both the commercial rollout *and* the rollout of BDUK-funded cabinets. Your attendance of such meetings will be one factor that helps them realise it, and (even more eventually) realise they have to deal with it.
In reality, you aren't likely to be considered for further funding in phase 1 - they'll likely hit a 90% target from just converting cabinets, and converting EO lines, without having to do anything more complex.
It seems most likely (to me) that you'd be considered as part of the phase 2 funding.