Some thoughts; by no means exact science.
Assuming that the same mass of air can be thrown forward by the engine reverse during the landing (unlikely to be true but good enough for the range of speeds on ground), then the change in momentum of that airmass relative to the static air is greater at high speed than at lower speeds. There should be a difference between; ‘v’ and ‘v squared’ amongst all that. Also, any ‘bucket effect’ - ‘v squared’ (as # 10).
Must stop thinking – back to the Christmas pud (now adding the brandy).