In the context of your initial post they’re crucial and very relevant facts aren’t they and seem to me to render much of the content, tone and general thrust of your post well and truly worthy of a complete re-write and/or retraction don't they ?
I want my money back...
How does the CPI measure housing?
https://www.abs.gov.au/articles/frequently-asked-questions-faqs-about-measurement-housing-consumer-price-index-cpi-and-selected-living-cost-indexes-slcis