It doesn't include enough of the big 3 costs in people's lives : housing, education and healthcare.
It includes whacky stuff like "oh your cellphone is faster now than 5 years ago, we're going to say that you're getting 10x the phone for roughly the same price and use that to disprove inflation".
It ignores asset inflation (stocks, real estate, venture capital, everything else) driven by QE. The average person never saw the QE because it went straight to banks and inflated asset prices. Rich people with assets made 4x their money. Wage slaves saw none of it. None of this is counted in inflation measures.