After the war was over, he spent a long time writing how the failures against the Austro-Hungarians weren't his fault, despite being known as one of the worst strategists and most ruthless general of the entire war…

And also by the fact that his substitute completely flipped the results and won us the war against them in 3 battles

The funny thing is that they did face against each others. In 4 battles, all of them on the Isonzo River

2 battles were won by Cadorna and 2 were won by von Hötzendorf.
So, while Cadorna was probably worse, they were still in a tie in terms of who won against the other.