He didn't bully them, the government reacted before the legal challenge came, which means if the government had held their ground it would of been worse for them in the courts. Why? Because it was flawed.
I agree with your comments, my understanding of the bids was that First "back end loaded" their bid so that they would cash in heavily as a direct result of increased passenger numbers and inflation towards the end of the contract term, but this wasn't picked up in the tender adjudication
I was involved in putting together and winning PFI bids over a long period, and the analysis of the bids and tender adjudication, by the client, is of paramount importance so that a proper analysis is made and apples are compared properly with pears by adding cost to the bid which is light, or is not taking the risk.
If the client (the government in this case) wants to offload risk to the private sector, then they need to employ people who understand risk and how we in the private sector maximise our reward. It isn't simply a case of transferring risk to the private sector - it's how that is achieved and at what cost to the public purse.
They (the government) screwed up and will now have to pay the bid costs of both parties (I guess £15 -£20 million each).
Another total fiasco by those people who refer to the rest of us as "plebs".