Of course. Because Germany had their back. If AH was in weaker position it might not have evencome to that because they would have been more willing to compromise in general.
AH would be also allied/aligned with the South German state(s) which would’ve meant that its relations with Prussia would have been cold and antagonistic if not openly hostile.
> There were too many people at the time who wanted that war for various reasons for it not to happen ine way or the other.
In some ways it’s a direct outcome of what happened in the 1870s.
No unified Germany, would have meant there would’ve been much lesser need to form alliances to contain it (e.g. Russia and Prussia would’ve probably been allies/much closer since they both hated AH)
Which makes a Franco-British rapprochement much less likely (Britain was generally pro-Prussia in 1870 after all). Also in the future UK would’ve likely aligned with Prussia/North Germany just to maintain the balance of power in Europe.
All in all.. yeah there would still be war, we’d just be more likely to see a higher number smaller scale conflicts instead of something like WW1.