If the English win the battle, they then have to decide whether to put the sweat in reclaiming all of the Scottish gains of the previous decade, or not bothering which would be another mons graupius, a tactical defeat that was expensive enough for the attacker that it becomes a strategic victory, even if a bloody and embarrassing one.
If the English embark on the reconquest of Scotland, that's going to be another long, bloody guerrilla war that is going to leave the lowlands and the north of England in enough of a mess that they may be essentially wasteland for another century or so.
It may also, by drawing attention away from Europe, butterfly the start of the hundred years' war, delaying it until after the impact of the black plague. How that plays out...answers on a timeline.