When (some) people feel they’re worse off and blame it on the government, telling them government produced statistics says they’re actually better off is totally going to make them trust the government more. /s

Edit: Without the snark, lots of people believe their rent, grocery bills, energy bills etc. have gone up a lot more than official inflation numbers (and that can be true even if the inflation numbers are “accurate” for some definition of accurate), and you’re not going to convince them using anything derived from these inflation numbers.