You have been paying for BT!!
Your public funds were used in round 1 of the so-called 'broadband' shenanigans to enable one helluva lot of exchanges. We kicked up a fuss then about BT being the recipient in far too many cases, and the failure to even begin to invest in fibre back at the beginning of the Noughties.
Fujitsu et al's proposal at least looks at creating some new core and access networks that are BT-independent, and breaking the monopoly hold that has this country as hostage to their shareholders. If the BDUK money goes to BT in any way shape or form it will do the precise opposite of what this and previous governments have claimed they want - a competitive marketplace. Let alone all the other issues that BDUK raises about process etc.
BT can sabre rattle as much as they wish about new entrants, but Fujitsu are at least pledging money of their own.
What actually would be worth exploring is how many private investors there may be in homes and businesses across the country who would be willing to stump up investment in exchange for equity to remove the need for *any* of that £530M, which could then be spent solving the more expensive first mile connections of those in the final third.
Start at the outside and work in, or alternatively, start at the most difficult places and work in. I know I'd put money up to help out an alternative to BT that brought FTTH to my home office. I already pledged it publicly, and I know many others are ready to follow suit if someone would just ask us...........