There were interesting arguments for this change of course, and pages of economic research. But the whole thing reeked of finding a justification for a foregone conclusion.
Ultimately there are many factors the CPI simply cannot include, or due to the lack of ground truth can be argued away. If tomorrow real estate prices 10x'd but this price change never made it to residential rents then CPI wouldn't budge. If every farm in the US shuttered due to commercial real estate shooting up 10x but consumers could still import food the CPI wouldn't budge.
Which ultimately goes to say that the use of CPI as the GDP deflator in monetary theory is arbitrary. Treating it as a gold standard measure of inflation risks ignoring inflation in other prices (and in turn systematically miss-estimating GDP).
This attempts to show the “real” inflation so to speak.