Endgame Improvement!

This is an actual endgame between GM Prohaszka, Peter and GM Baklan, Vladimir

White to move!

Prohaszka, Peter - Baklan, Vladimir
2018 Benasque

Definitely 1.e5. The white king can hide at h4 after Qa2+ and Qb3+. After black is forced to play fxe5, white should have a winning edge.

For example: 1.e5 fxe5 2.Qg6+ Kf8/h8 3.Qxh6+ Kg8 4.Qe6+ etc. Nothing changes really if black plays 1......Qa2+ 2.Kg3 Qb3+ before taking the pawn on e5.