A significant element that helps set OTL Operation Valkyrie into motion was revulsion at the atrocities in the East, which were MUCH greater in TTL.
The July Plot: When German Elites Tried to Kill Hitler | HISTORY
Fed up with Hitler, though only partially for moral reasons, high-level German resisters nearly succeeded in assassinating him in July 1944.www.history.com
While that was a primary factor in their coup attempt, the Valkyries were largely opposed to Hitler for throwing them into an unwinnable war. They held very racist, authoritarian, and militaristic views and were angling to keep some of the spoils of Hitler's war. If they ended up ruling Germany, German society would be far more militaristic, nationalist, and racist than OTL, and probably without the nationwide soul-searching Germany underwent after the 1960s.
In a world where Hitler did win, they would be far more likely to side with Hitler and profit from the spoils of his war. OTL, this isn't the relatively optimistic history where Hitler died blowing his brains out and West Germans witnessed Americans dropping chocolate into their cities, this is a history where Hitler's madness actually won, causing almost all Germans to think that he was a prophet speaking the truth.