Back in the real world, US inflation was in the 2-3% range for most of 2002-2009, hitting the giddy heights of 3.84% at one point and inflation rates in many of the other countries you've listed were actually higher...
Depends on what you count as inflation. Inflation of the money supply, or resulting "inflation" (rising) of CPI measured items. Real inflation is very different from the CPI reports (as evidenced by stock prices, houses, Bitcoin).
The whole point of assets like stocks is that they increase in value (combination of share price and earnings) faster than inflation so it would be ridiculous to include them in a measure of inflation.
I don't disagree at all on this, just noting that they aren't immune from price distortions caused by devaluing currency. In fact, I would say they are probably more exposed to them especially as wealth gaps increase.