I came into this world in 1957 when the country was still decimated by the after effects of WW2. There was very little social housing let alone affordable ones. 13 of us lived in a 3 bedroomed terraced house such was the housing shortage, with just one cold water tap, no such thing as central heating, & an outside toilet. 10 years later my parents managed to obtain a council house, but that was only because the house we were living in had to be demolished. At age 11 I went to a brand new, state-of-the-art, high school. Most of the pupils there were very much like myself, all from working class families who's father's/mother's had low paid, menial jobs. As good as the school was in appearance & facilities, the level of teaching was highly sub-standard. Disinterested & demotivated teachers teaching disinterested & demotivated children. So this 'free tertiary education' you speak about might as well have been on the moon as far as we were concerned because there was zero chance any of us were going to see the inside of a university (not unless we were fortunate enough to get a job cleaning the toilets that is). The middle & upper-classes occupied most of the places in the UK universities, that's because most of the pupils would have gone to private schools beforehand & received a far superior education. As far as the system was concerned, we were just the new cannon fodder for all the shitty jobs that awaited us when we left school.
The 70's & 80's were turbulent times socially. Power cuts, strikes, recession, riots, high unemployment, high inflation. So this better world your father had left still had yet to come to fruition by the time I was in my 30's. However, I still took whatever work that came my way in order to pay the bills, feed my family etc. & all the time I was working, I was paying my taxes & national insurance so that whatever government was in power could continue to build a better world for my children. It was really only in the 90's did things start picking up. My employer at the time in the late 90's paid for me to obtain the professional qualifications that were not accessible to me when I was a teenager. This enabled me to move up to a higher paid job, which in turn meant I was able to provide a better life for my family.
Overall, my adult life has consisted of being flexible, hard-working, patient, & prudent with money. I've never felt entitled, but that's probably because no one has ever told me I'm entitled to anything, & that if you want something so badly, you have to earn it. I've lived through various different governments, & the one thing I've learned is that they don't determine how your life turns out......That's all down to you. So if things are not going the way you want them to, you firstly need to look internally at why it's not going to plan. & if you're totally honest with yourself you'll see it's you that needs to change, & the establishment, baby-boomers etc, are not really of any consequence, nor are they relative to how anyone's life pans out.
https://www.theguardian.com/education/2017/nov/21/english-class-system-shaped-in-schools