nothing mysterious - there is no conspiracy here. Economists moved to "core inflation" because things like energy and food are extremely volatile. Inflation should refer to sticky prices, ie things that tend to resist going down again once they go up (or vice versa). Wages are extremely sticky, then things like cars and houses.
Wages are currently flat or even decreasing, while housing prices have clearly decreased. Car prices are pretty flat. There is no significant inflation going on here.