If shooting on the move would be allowed, it doesn't mean everyone will do it. It wouldn't be a requirement.
I believe shooters would only move as fast as they feel they can.
Even in today's game, shooters move at different speeds through a stage.
Some run fast between shooting positions, others just mosey along.
If we continue to make the stages easier and slower just because people are getting older, this sport will die when we do.
Young people will not get interested in joining a slow shooting sport with no action.
We may as well remove the word "action" from our sport.