Yes, correct.
Quantitative Easing by itself does not cause inflation. Over time, the Fed sells the shit securities it bought, back into the system. That process is what I call Capitalism 2.0, as the Fed has now become damn near as important to the economy as the consumer. Buying when needed, then selling when the coast is clear, back and forth, back and forth. To be honest, I'm not quite sure what I think of Capitalism 2.0 yet.
Anyway, this inflation was essentially the good ol' fashioned supply and demand issue. Demand exploded out of the lockdowns, supply (chains) immediately collapsed. Bingo. Inflation.
The difference here is that QE put massive liquidity into the system, i.e., kept credit markets working and (very) healthy, saturated with cash, setting the stage for that catastrophe, ready to provide everything demand needed. Connected to that was Fed policy, which not only flooded markets with liquidity, but it also held interest rates down (far too fucking long).
So everything was in place: Massive systemic liquidity, artificially low interest rates, exploding demand and collapsing global supply chains.
I hope that makes sense. I don't usually have someone here who can handle this, so I'm out of practice explaining it.