I have a huge problem unilaterally moving out of combat rules.
1. Just because one foe is fleeing does not mean the others are. Combat may still be going on.
2. Consistency - if while on the map the party's rogue can keep up with the foe's dash and still attack, why can they suddenly not do the same action on the same creature? There are lots of cases where swapping rules subsystems will favor or hinder withour a corresponding large payout to offset this loss of consistency.
3. Some people may not be chasing, instead they are still in combat using ranged attacks.