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'.