Let me share an anecdote: I worked on a project to estimate household-level price sensitivities to the market basket of goods commonly used in CPI calculations. (My employer had shopper-card/upc/transaction-level data from tons of major grocery chains across the USA with which to attempt this project.) I tried to read through the docs on how CPI is calculated, and let me tell you: major snoozefest, and I consider myself "a numbers guy."
I doubt the run-of-the-mill American can accurately define inflation. Consequently, "look at how we fought inflation" is the wrong campaign slogan.
There was this Biden admin. push to not call things a "recession" due to technicalities that probably pissed people off? "Inflation" means 'higher prices' and "recession" means 'economy things suck right now'.
I did hear Trump loudly, constantly, inaccurately talking about Grocery prices.
I have no trouble believing many people are worse off, which sucks. And many politicians should care more and try to do more.
But: 1) I would attribute that to low wage increases for several decades, not the last 4 years. 2) there's no easy fix for these things. 3) Putting inflation in a global perspective is meant to show how this is not mainly Biden's fault, since he doesn't control the rest of the world.