More often than not, such claims are often connected with not seeing hidden privilege as a competitive advantage. Of all of my successful friends, only one come from a socioeconomic environment that isn't middle class or above.
The ability to climb on the socioeconomic ladder is much harder for those without means and connections - these means and connections are almost always directly correlated to your family.
As a personal anecdote, all of my kids friends have parents which are able to support them financially and are able to work 40-hour weeks. They are all academics and their kids get the benefit from having the language and mindset of academics from an early age.
At the same time, my cousin is a couple of steps down on the same ladder. Her kids friends parents are working part time, often several jobs, and still have a hard time making ends meet.
My kids are according to studies (on phone so won't be able to reference - an easy Google away) more likely to achieve economic success, go to college and have a better chance ending up one step up on the ladder. Her kids are more likely to end up in crime, less likely to go to college, more likely to stay in the same socioeconomic class.
I'm pretty sure my work gives me more slack and ability to be able to be lazy than the part time factory worker. "Free money" would probably create more equality and a better chance for all kids. Your statement is shortsighted.