Why not change it to Cyclic Move Order from NLC? This would at least completely eliminate the Autopilot advantage. Of course this gives some changes, but at least ther is no loopholes.
I think this is a good idea to avoid people exploiting autopilot, so I support this proposal.
It also prevents intentionally going for slowest picks though (not sure how I feel about that - making a play for slow picks as a strategy is kinda nice, but if both players goes for that it will just be whoever can wait the most without booting)