Except that isn't remotely the actual story of human evolution. Firstly, except in very Northern climates, hunting makes up a fraction of what a tribe eats. Those calories are important, but they are also sporadic. A hunter might go for days or even weeks without a kill. That means that gatherers were consistently providing the bulk of what the tribe eats for the vast majority of human history just as they do in many hunter/gatherer tribes today. In addition, Paleolithic women had babies about every 4 years, rather than every 2 years as in agricultural societies. Both male and female alloparents helped to raise children - it wasn't just left to individual mothers as it is today.
"Without kin and as-if kin to help protect and especially to help provision them, few Pleistocene children could have survived into adulthood."
Hrdy, Sarah Blaffer. Mothers and Others (p. 18). Harvard University Press. Kindle Edition.
The whole idea of a father as a "provider" didn't really come into full flower until the Industrial Revolution. It's not a "since the beginning of time" thing at all.
"With the advent of the Industrial Revolution (around 1760), men left home to work each day for the first time, leaving women to completely care for the household and the children. Even when men did much of the outdoor work when the plow came into agricultural use, women still did many jobs that contributed to the overall success of the farm/homestead. This only truly altered to roles of provider/provided for with factory and other outside jobs becoming a common way to feed the family."