> wherever you’ve pulled that from
A dictionary: https://dictionary.cambridge.org/dictionary/english/dictiona...
The wikipedia definition is strange. A pension is not a fund. A pension fund is a fund! (There is also a wikipedia page for that!)
Apart from that how is “regular income paid by to someone who no longer works“ different from “periodic payments made to support the person's retirement from work” anyway?
Because you missed the original distinction, which is that an annuity — a product purchased using your pension savings where all the value is lost when you die — is not the same as other pensions, where for example you have stocks and shares paying dividends, in a pension wrapper, and those pass on to your estate when you die.
The word pension is overloaded. A SIPP is a pension, the state pension is a pension, and people refer to their annuity as pensions too.
> A pension is not a fund. A pension fund is a fund!
The word fund is being used in two different ways here. A pension is a fund, but is not a Pension Fund.