“USD is being hyperinflated” is an easily falsiable (and obviously false) statement, so basing anything on it is nonsense.
(That it is imminently going to slide into hyperinflation is less easily falsified, which is why that is actually the perennial cry of cryptobugs, as it was for goldbugs—sometimes, the exact same people—before then.)
So,yeah, when even the rapidly inflating segments aren't anywhere close to hyperinflation, it's pretty clearly not general hyperinflation.
And stagnant wages are a completely unrelated issue to hyperinflation, though obviously wage increases mitigate and wage stagnation or decline exacerbates the effect of whatever inflation there is on wage earners.
Buying a house is an asset acquisition, not an expense. Housing is an expense (and typically the single greatest household expenses), but that expense has increased in price less than home prices.
The next greatest expenses are food and transportation.
If people buy four household computers that isn’t inflation, but how does buying a 4 bedroom home rather than two bedroom show in inflation stats?