Arcadius gets the Western Roman Empire and Honorius the East

What would happened if the two co-emperors swapped their domains? I don't know much about Arcadius, but I think he would have handled the Visigoths quite differently and not been particularly fond of them marching off with a Roman princess.
 
If Stilicho goes to the East, he might be able to make more of an impact, either by becoming guardian of both Emperors or by giving the East more opportunities to pick the West back up...
 
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