It’s an oversimplified example, true. The point being (as you also state): if you do NOT have a pension, then you need to have savings that will cover what a pension would have covered. If the non-pension person has been saving diligently (using employer match if available), this is indeed quite doable.
Unfortunately, a lot of people these days simply are not putting money aside (like my daughter - AAARGHHHH). She’s setting herself up for a retirement with minimal Social Security (due to her issues, she does not work full time, and while she is in an area where housing is cheap, and hourly wages for retail are relatively goood, it’s still not livable) and virtually no other savings. I MADE her deposit money to an IRA when she was still living with us, and I took her to her credit union to make sure she deposited money in an IRA, one time when we were visiting. But otherwise, nothing.
That’s pretty unusual - is it a public sector pension? Those often have inflation adjustments (CSRS / FERS do, I know); private-sector ones rarely do.
Switching gears: I stumbled across this article on “solo agers” just this morning.
Solo Agers | Partnerships In Aging (unc.edu)
For those who are in that situation, there might be some useful info there; I have not really read the page yet. Looks like a lot of the info is NC-specific (in fact, UNC is my alma mater, so I recognize some stuff I see) but the concepts should be useful wherever you live.