The Hunter T8B had an AoA system, but I cannot recall whether the T7A did. Photos of WV372 (a T7) shows it not to be so equipped.
Hopefully the cockpit imagery recovered from the aircraft will show whether the JPT limiter was operating correctly; if I recall correctly it becomes active about 30 sec after the nose undercarriage has locked up. If the system fails, it can cause either a high JPT or a significant loss of thrust; however, the JPT controller can be manually isolated in flight by use of a switch near the throttle, although it is a bit of a fumble to find it.
I hope that sufficient documentation exists to calculate the normal take-off run of WV372 with an 8 kt tailwind; the AAIB has said that the lengthy take-off run on the day was 'probably' due to the prevailing conditions, but this needs closer inspection, in my view.