Additionally, pension have to be managed and administrated. This is pure wasted money. Every pensioner would be better off taking the money that is set aside for their part of the pool and putting it in a Vanguard index fund. When you start to withdraw, you know how much you have left and you haven't paid tons of kickbacks along the way. When there is a recession, you can scale back your withdraws until there is a recovery, etc.
Fixed benefit pensions can never be anything but a pyramid scheme. Otherwise, your pension would be more by doing what I state above because the administration is near zero. The pension funds have never done better than the S&P over any reasonable time window. Pensions will always have unnecessary overhead.
Also, fully funded is only fully funded when it can survive the company going bankrupt tomorrow. People like to redefine it as liability less than X, but that just means underfunded.
Granted, if you have kids you might want the leftovers from your retirement to go to them, but that's not a social problem. Further becase pensions take less money so a subset can always just buy life insurance.
PS: The biggest issue is benifits not including inflation, but again that's a policy issue.
Really, it's an issue of policy not pensions.