CPI is fairly useless anyway. It ignores where the huge money displacements are actually going: hint, not bread and circuses. The money the ECB is displacing is institutional investors money and causes inflation in things like housing, stock markets, VC funds, and yeah, probably cryptocurrency.
Rent is included in the CPI, and it usually co-moves with housing prices .. and yet .. it means no difference: https://www.ecb.europa.eu/pub/pdf/other/mb201008_focus06.en.... (it's much more drastic in the US CPI - probably because more people own their homes in the EU and gentrification and other effects are a lot slower too? who knows..)
Yes, this drives bank savings account rates down to nothing, thus people are looking for better "investments".