Not better precision, rather not untrue bullshit that 'feels.good'.
Yes, in some ways it can be inflationary to move from saved dollars to spend. In other ways however, it means less money is available to lend, buy products, buildings, inventory...
It's just different consumers and projects.
The current system skews natural forces heavily.
In the overall economy, I don't know that evidence suggests the direct transfer from savings of dollars to government causes direct inflation short term. Foreign investors that have dollars can certainly bid up real estate, stocks, Bitcoin, and many other direct assets. However they do not typically buy a bunch of retail food or clothes or whatever.
Long term you are absolutely right that the fed is merely bidding time until they start again to come to the rescue as savings dry up and leverage increases. Currently, the only reason the are able to shrink or maintain is due to the absolutely insane covid and 2021 cash inflows.
I believe we are on the same page overall cheers.