Interesting... I presume the route of the line is the one that now forms the Monsal Trail from just outside Buxton across to Bakewell. If so it would mean the loss of a hugely popular cycling and walking trail in the national park.
I suppose there are cases to be made on both sides. If they were going to do anything, I'd prefer they extended the Monsal Trail into Buxton somehow or at least connected it with a direct footpath. It has been discussed by the council planning department in the past, although nothing has come of that.