First of all, if a house builder goes bust before all the work has been completed on the home (including shared driveways) you are protected and covered by the Buildmark Warranty.
Even better, you had a written record of making a complaint so the NHBC had no option but to arrange the work.
This work, must also be carried out to industry, British and NHBC standards.
Clearly something has not been done properly as the surface has broken up quite quickly.
You must not accept a "patch repair" of the driveway.
This may be done as a temporary measure until such times as the whole wearing course can be removed and replaced properly when the weather permits (I would suggest in the spring.)
Regarding the NHBC write to the NHBC Chief Mike Quinton and let him know how his organisation is letting you down.
Tell him that you require the whole driveway to be taken up and re surfaced properly with a 5-year full warranty.
tell him if he refuses you will arrange the works yourself and take legal action against the NHBC to recover all costs involved.
You can also complain to the Financial Ombudsman but dont hold your breath!
See nhbc grp lintels and sills
Dont accept it and do nothing. It will only break up again next winter and this time you and your neighbours will have to pay!
Be aware, modern powered-steering can chew up tarmace wearing courses, especially in hot weather, which is why many house builders use block paving.