I'm trying to give BT more money, but the "system"...

Question

I'm losing my mind here.
I have recently became aware of BT's decision to remove usage restrictions during peak hours for certain types of traffic (e.g. Peer to peer). As an existing Infinity customer ("BT Infinity Option 2") I would like to get rid of these usage restrictions as they're the only part of my current service that I find frustrating.
So my plan, as a (once) happy BT customer, was to recontract to "Unlimited BT Infinity 2" and by doing so extend my stay with BT by at least 6 months (my current contract expires in April).
This is where the fun starts...
My first attempt to upgrade was through the website. It was on MyBT that I discovered the newer packages and attempted to upgrade immediately, however towards the end of the process the website gave me an error message of 'service unavailable'. 
I assumed the website was broken and so rang the customer options team, who promptly informed me that I was on the best possible package and it was completely unlimited. As I hadn't tested any P2P applications since finding out about the change in usage restrictions (I didn't realise at the time that they had been introduced in February) I gave them the benefit of the doubt. 
Unsurprisingly, the next time I tried to use a P2P based application during peak hours the throttling was still evident. After doing more research on the subject it was clear that my current package would still have the same usage restrictions it had always had and that I clearly needed to upgrade. Armed with more specific product names, I tried to ring BT again...
This time I resisted the "But you're already on the best package" speech and tried to explain the difference between a download limit and traffic shaping - by the way, I find it annoying that not one of the sales team (all of whom work for a major internet service provider) I spoke to seemed to understand the difference. Eventually I was transferred to the technical department, which was useful in this case as I could check once and for all if the usage restriction was still active on my line, 30 minutes of language-barrier-awkwardness later we decided it clearly was. At this point, the lady informed me that she had put notes on my account and that I was to contact the options team the following day for further advice.
I did just that. After explaining the difference between download/traffic restrictions the sales advisor, after consultation with his manager, informed me that I would be unable to recontract until my current contract expired. This didn't make any sense to me and I proceeded to send a complaint email to BT asking why they were so against me giving the company more money and to get in contact with me to resolve the issue.
They contacted me today. And, as you can probably tell by the tone and length of this rant, they didn't resolve the issue. After the usual back and forth about download vs traffic restrictions the lady informed me in no uncertain terms that there was nothing they could do as the system would simply not allow me to get Unlimited BT Infinity 2. This seems bizarre to me as all the availability checks I have run clearly list the following:
- BT Infinity 1
- Unlimited BT Infinity 1
- Unlimited BT Infinity 2
The "system" at BT clearly has the final word. I find it very difficult, however, to believe that the reason I cannot get the service is because it is not available in my area. Removing P2P restrictions doesn't seem like it would require any major hardware changes so I believe that the "system" is simply blocking my ability to get rid of the P2P restriction as I am an existing customer.
If it is available for new customers in my area, then it is an insult to us all that BT can put the following on their website:
Some Internet service providers put restrictions on certain types of Internet traffic or limit how much you can download or upload which means at peak times of day, customers may experience slower speeds.
We don't think that's a good enough experience for BT customers so we have made all of our unlimited products 'Totally Unlimited'.
Does anybody know if there is any truth to the 'unavailable' story? Is the availability checker on the BT website broken? Has anyone had similar issues trying to recontract? Is Sky broadband any good...?
Sorry for the rant... If you got this far, thank you for reading!
Solved!
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Answer 1

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