It doesn't track cost of living? The way it's calculated is all about cost of living!
In the US, the official inflation numbers are based on a "basket of goods" meant to be representative of a typical person's spending. Housing currently makes up about a third of the basket, while luxury items are a fairly small percentage. Here's a pretty well-written summary, albeit with numbers from 2022:
https://www.pewresearch.org/short-reads/2022/01/24/as-inflat...
Changes in housing prices have a large effect on the BLS's inflation figures. Downward changes in the price of luxury goods have a small (and bounded) effect. Even if all luxury goods became free, the reduction in inflation wouldn't be all that much.
Nope. CPI is an excellent differential indicator -- "how much did a typical person's cost of living rise this year" -- but it's a terrible integral indicator if you compound it because it's blind to the difference between forced and voluntary substitution. If essentials inflate faster than wages, money_in=money_out drives a reduction in nonessentials -- forced substitution -- and the CPI basket adjustments launder the forced substitution into voluntary substitution.
Well, "launder" is a strong word that the hardworking bureaucrats at BLS do not deserve, but the people who use CPI as a deflater so that they can wave around graphs "proving" that things have never been better absolutely deserve it, so I'll keep it in.
Bonus meme: the American Dream was not to Owner Imputed Rent a house.
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It’s also been toyed with and twisted since about 1983. The actual standard of living for Americans has generally been falling since then.