Lee "wins" Antietam

I looked around before posting, but the closest to this ends up with a nuclear dystopia of sorts.

Anyway, let's assume that after the Battle of Antietam Lee decides to throw the dice again and stays in the field, thinking he can stop the Army of the Potomac. McClellan becomes unnerved by this, thinking Lee will receive reinforcements, and leaves the battlefield.

How would this affect the war? The events play out as in OTL, only now Lee is leaving for Virginia victorious. Also without the victory the Emancipation Proclamation might take longer to be released. What about England and France? If I remember correctly they were waiting for a Confederate victory on Northern soil to intervene.
 
If anything, Lee staying in the field would mean a much greater Union victory; he had his back to a river and even though McClellan was a perpetual paranoiac, given that he's seen order 191 and knows that Lee already brought up all his reinforcements from Harpers' Ferry, he won't be persuaded to retreat from Lee on northern soil. A case where Lee escapes without fighting or invades successfully is possible, but winning a "minor" victory and then retreating is very implausible for him.
 
If the Order 191 didn't fall into McClellan's hands maybe that would work? McClellan would probably fall for such a ruse otherwise as he would constantly be afraid of phantom Confederate reinforcements.
 
Lets say that happens. Lee stays, McClellan flees giving the ANV a nice victory of sorts. I could probably see Lee being able to pull his army out of the North to fight another day. This does nothing but prolong the inevitable but still, gives the South some hope in an otherwise pretty decisive war. The major thing I see is Lincoln not giving the Emancipation Proclamation. He needed a big victory and assuming Lee just kinda shuffles around in Virginia until his surrender, he wont get it. That could mean the War could be seen differently in the South than in the North. They could try to spin it as mainly about state rights and such things, at least until DC cracks down on it.
 
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