For me, my anecdata leads me to believe it is very hard to get on the wealth ladder. I have built this perspective from associating with people ranging from backgrounds of very working class to ultra high net worth people. We live in a world where (thanks to things like QE) it's easy to make money if you have money - equity markets have gone through a sustained bull period and housing prices have seen a sustained period of growth which has only in the past few years cooled down.
An easy thing for many people to relate to is house prices (which is often most people's entry into wealth). If you live in a major city like London, good luck buying a house without parental help. The past decade has seen growth which has basically been faster than most people can save at. What's even more crazy is that the gap is small enough to see within (half) a generation - I have an older brother and people in their mid 30s face a very different situation to people in their mid 20s now. If you got on the housing ladder around or before 08 you'd have made widened the gap between those who didn't in a stepwise fashion.
Meanwhile, my father was able to buy a house and have a kid when he was 27 after arriving in the UK with nothing on his back - he didn't even have a university degree. Contrast that with today, people who work in classically "elite" jobs live paycheck to paycheck in the city. Do you know any junior doctors in London? Most of them are amongst the most miserable people I know - they work all kinds of crazy shifts (night oncall) then have 1-2 hour commutes home.
So if you're in a situation where most people are struggling to move out of home, let alone get on the ladder, while it is known that the rich are getting richer can we say that we live in more equal times?