WI: Jogailia marries Elizabeth of Luxembourg

Just what it says on the tin. Say, instead of marrying Sophia of Halshany, Wyadyslaw II Jagiello marries Elizabeth of Luxembourg. Effects? Could Jogaila swing the election to King of Hungary with Sigismund's (posthumous) support? Could we see almost a medieval Intermarum, with Jogaila in charge of Lithuania, Poland, Hungary, Bohemia, Silesia, Brabant, and Luxembourg? Could we even see the Jagiellons, instead of the Habsburgs, become de-facto hereditary Holy Roman Emperor? Could we see a Poland-Lithuania-HRE emerge? How huge can our Jagiellon-wank get?
 
In 1421 Elizabeth was married to Albrecht Habsburg who lived until 1439. Sigismund of Luxemburg lived until 1437. Jogaila died in 1434. Even if he married Elizabeth instead of Albrecht (let's assume Albrecht died early) the thrones of Bohemia, Hungary and HRE were occupied. I also doubt if Sigismund would agree to such a marriage.
 
Top