It doesn't make sense to measure inflation against "stable items" anyway! Who thought that made any sense?
Inflation impacts those with the greatest need, who are and have been the vast majority of persons, so we ought to measure it against that on which they spend their money. Then, we ought to normalize against their wages. That then affords a real understanding of what inflation actually does to the populace. The bankers and big money investors don't need the CPI, because they gather their own numbers.