Would their odds of winning the war been better? It's insane to think they were fully committed to a huge genocide while also fighting a world war. That must have drained a lot of their manpower, materials, ect., right?
Here's the thing. Framing the Holocaust as separate from the German war effort is misunderstanding the mindset of Nazi Germany's leadership. u/commiespaceinvader addresses why we shouldn't think of them as separate, and u/warneagle also addresses the question.