That would be realy nice, it would resolve problems like this:
Everybody starts eating. => All serfs need to bring food to the inn. => Not enough serfs. => No serfs bringing coal & gold to the gold smelter. => No gold to make more serfs.
Or:
Late baracks. => Serfs bringing weapons to the storehouse. => Serfs won't bring them to the baracks. => Need more serfs. => At the end of pt you will have: Not enough recruits because you needed to make more serfs or less weaopons because they're still in your storehouse.
Last thinkable situation:
2 coal fields, 1 next to gold, an other next to iron.
Coal field for gold gets depleted. => Serfs won't bring any more coal to the gold smelters because it's too far. => Need more serfs. => No gold to make serfs. => No recruits.
So this are realy annoying situations that often happen IMO, it could help us out there, and for players who think it's too complicated it won't make such a big difference in other situations, you'll just need more serfs.
It could make it useful to store stone again, you just give it the last priority. 

Kick fast, think Bo.