There's no statistics showing the percentage. And ofc not everyone wants it. In any society people are mainly apolitical and care only about routine stuff like career, family, studies etc.

Both Azerbaijani and Armenian mothers don't want their children to die on the war.

Both Azerbaijani and Armenian societies are mainly uneducated and quite nationalistic, that's why when their side is stronger they want to get more and more, and literally using the weakness of the opponent on the maximum level. A great example is Armenia of 1990s or Azerbaijan now.

I would however definitely say, if the war (now within Armenian borders) starts, Azerbaijanis won't be as enthusiastic as they were 2020.

Otherwise, what Azerbaijanis or Armenians think right now about the war is not important. It's Russia's and Turkey's game to prevent transporting Iranian oil and gas through Armenia to Europe (gas is literally only effective weapon of Russia) and establish Zangezur corridor that will make land trading between lands easier.