Its a bit more complex but you can see how OP has a point if you look at countries with a state mandated pension system, Germany for example. While I dont think blame will get us anywhere, the idea that the last generation leaves us a pension system that might have some similarities to a snowball system is hard to argue with, especially if there is no political will to fix this. The last big debate ended with the government making no changes and declaring that pensions is safe till at least 2030. Which is not really that big of a trust boost for someone who is planing to retire a lot later. Not even mentioning for how many its clear that they will get a pension on or under the level of welfare. So despite the knowledge, that me getting a pension from the pension system is lets say unsure, i will keep paying the the pension of the last generation who will be entering their retirement in the knowledge that the system is broken and unsustainable.
We dont have a generation conflict yet, but if the government keeps ignoring the issue in the hope of it becoming the next generations problem there will be one. Looking at the debate on climate change, where the question what the current generation 50+ is leaving us behind, I hope we will be talking about pensions as well.