Yes. Although I will note that labor unions were also more powerful then, which allowed a broader class of people to have jobs that offered benefits.
I don’t disagree that the system was still selective as to who had access, but the Reagan-era attack on organized labor and workers rights had sweeping, sweeping impact that continues today.
The problem is that many boomers (sorry mom and dad), who had more entry-level or even middle-class jobs in the 70s and then went on to big corporate jobs in the 80s, either are unaware of this shift or are unwilling to acknowledge it happened. People say, “well when I was your age my health insurance was free or super cheap” — as if that is applicable 40+ years later. It’s similar to my uncle not understanding why someone like me, who makes well into six figures a year, has no aspirations of home ownership, not understanding that the only cities I’m willing to live don’t have housing equivalent to my rent for under $1m. He just thinks, “I bought a house at your age” — not realizing his house was $80k and even with inflation, wouldn’t be possible now. Or like how I had to explain to my mother that no, despite working for the second-most valuable company in the world (technically it has the highest market cap today), I do not have a pension. I laughed when she asked.