How can you both know about Pal Pronay and suppose that Austrian troops will liberate Budapest? For gods sake, the guys claim to what fame he has is that with some irregular troops he kept the austrians out of Sopron and declared his own state to keep the territory hungarian. It was thanks to him that Sopron instead of simply being rewarded to Austria as originally planned had a referendum - and decided to remain hungarian.
He was also reportedly butcher who held no reservations about violence against any and all opposition, even if only percieved. He does not have Horthy's prestige and probably grows to be as reviled as Kun was.
Now Austria that couldnt even manage to oust some hungarian irregulars is supposed to liberate Budapest. Not to mention the part that him asking austria for help is...
The thought was that Pronay would be so vicious in power that Austria might be invited to help liberate their former co-regent state. With the rise of Germany, an expansionist Italy, and Europe evolving as it did in OTL but in a worse state, maybe a tripartiate nation is not totally out of the question.
Oh and mending relationships with Czechoslovakia is out of the question right after the war. The polish also had significant problems with Prague thanks to Teschen.
But from the category of truth is stranger than fiction...
https://en.m.wikipedia.org/wiki/Black-Yellow_Alliance