Well, aside from the fact that Dr. Eisler is an internationally acclaimed systems scientist, historian, and social scientist, she never actually uses the term patriarchy. She talks about domination systems (vs. partnership systems), and documents quite thoroughly how and why the former came about - basing her work on that of hundreds of other researchers, anthropologists, historians, and archeologists.
Patriarchy isn't just about a historical power differential between men and women. I recommend you read The Chalice and the Blade as well as her book Sacred Pleasure: Sex, Myth and the Politics of the Body if you want to truly understand how we got from 97% of human history that was the complete and total antithesis of the Abrahamic religions to where we are now. Or, you could just read one of many, many essays I've written on the topic.
https://medium.com/inside-of-elle-beau/tagged/hierarchy
Human sexual dimorphism is only about 15% and even that isn't absolute. Around 11% of women are taller than the average man, and there are quite a few women who are considerably stronger than the average man. Recent research is illuminating how many ancient women were hunters (and soldiers), including big game hunters and how many women hunt in current H/G cultures. Until about 5k years ago when patriarchal dominance hierarchies first arose (about 5k years after the rise of agriculture), most of the world looked very, very different than it does today.
Patriarchy is not on the way out, because it is an entire dominance hierarchy system of artificial stratification that dovetails nicely with white supremacy and late-stage capitalism. It's not a synonym for men, and although it is a pervasive social system, is far from universal or inevitable.