WI Edward Baliol becomes King of Scotland in 1333?

Intending to regain what the English had conceded, Edward III won back control of Berwick and secured a decisive English victory at the Battle of Halidon Hill in 1333 against the forces of the boy-king David II. Edward III was now in a position to put Edward Baliol on the throne of Scotland and claim a reward of 2,000 librates of land in the southern counties - the Lothians, Roxburghshire, Berwickshire, Dumfriesshire, Lanarkshire and Peebleshire. Despite the victories of Dupplin and Halidon, the Bruce party soon started to recover and by the close of 1335 and the Battle of Culbean, the Plantagenet occupation was in difficulties and the Balliol party was fast losing ground.
WI Edward III proceeded in forcing the Scots to accept Edward Baliol as King Edward I of the Scots? How is this affects History? Any thoughts?
 
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