WI: Hungary Converts to Orthodoxy

What would be the effects? Worse relations with western Europe? Prolonged wars with Bohemia/Poland/HRE? More Byzantine influence in Central Europe?
 
The ERE sees its northern frontier as less difficult, and if Constantinople still falls in a Crusade then we could see a huge Balkan Orthodox Kingdom, from the Carpathians to the Sea of Marmara.
 
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