Can absence of inflation be accounted for by a reconfigured class structure?
Quantitative easing without high inflation can be explained by low velocity of money.

Think about a property tycoon who sees times are hard and instead of investing all his money in a development project, he buys gold which he keeps in a vault. The property project would have provided employment, and the wages would be used by workers to buy other things in the economy (high velocity). The gold in his vault just sits there (low velocity).

Economic troubles result in low confidence and low velocity of money. Central banks pumping money into the economy somewhat offsets this. As long as the overall velocity of money matches the productive capacity of the economy, there won't be high inflation. One concern of course is that central banks cannot control the velocity of money, so if all this new money gets velocity we could get high inflation that central banks cannot control.

Now think about where you mentioned soaring prices. Many of these are places where rich people can store wealth at low velocity: real estate, fine art, gold, etc. So yes, the effects very much are connected.