In reality, all of those steps were necessary to prevent economic disaster, but now that disaster has been averted, and wages started rising, everyone's clutching their pearls about inflation.
In any case, the team sports side of this is much less interesting than the part that transcends team sports: both sides devote more media attention to the smaller money printers. Not by a small margin, either. That's an interesting choice. Does submarine go blub? Or does making the big money printer boring and complicated completely cloak it from view? Either way, it's an impressive multi-trillion dollar sleight of hand.
The assertion is not so much that poor people cause inflation; rather, that inflationary fiscal and monetary policies are often only recognized as such when they happen to benefit middle-to-lower income people.
Example: PPP Covid programs which pay business owners billions is necessary and proper given the circumstances, but direct payments to taxpayers is not because it will cause inflation.
In truth, they both provide relief, and they both contribute to inflation.
edit: /s