Sounds reasonable logic to me too, I see where you are coming from. To me the disruptions to business caused by covid were not so much to do with stimuls, but lockdowns.
I am not sure how much difference it makes, issuing the money to whom, but the industrialsts currently running business are who would generate most wealth. I know it might seem unfair issuing the bulk of the money to them, as they seem to need it least, but this is what was done in US with 4tn per month, and I guess what they did with the money was the right thing as everyone got what they needed from it, enabling ordinary folk to be trading in markets with disposable income the only time ever, and the dollar recovered and went to the top in markets.
I hate to be the one saying it, but Trump was the person in control at the time, deciding things like who would get the money, and how much.
How did he know how to distribute that money? I suspect he actually might have been following advice, which came from documents he had access to, which might have contained information on how to distribute.
That information is more Engineering in nature than political, it is how to most efficiently distribute energy, in a way that maximises the creative effects of it, it is a little like planning how a fire will burn, start up by lighting up the things that will generate the most heat in shortest time, in closest proximity to other things that burn brightest...
That is the sort of thing considered in the public articles written by Nikola Tesla, it doesn't seem like Engineering information to traditional single domain "nuts and bolts" Engineers, or even software coders, but it is the bread and butter of modern formal Systems Engineers, who carry out stakeholder analyses to establish who is driven by what, in order to ensure systems are designed to truly ensure the needs of all stakeholders are met by systems under design.
In the Systems Analyses I've done on the energy problem, it looks like Trump used similar logic as a Systems Engineer might have used, to decide distribution, using something like a fire lighting scenario.
Could that have been included in the secret documents Trump had access to via his Uncle, who was the person given custody of Tesla's secret documents, when Tesla died?
Who knows, all we can say is it seems to have worked.
In any case, if we look at the maths of what happens to capital, after the money is issued, capital dissolves, its power becomes zero. What value are savings, after permanent free money is piped to all?
Returning to the fire scenario, piping gas into a well stocked coal fire, and lighting it, results in all the coal in the fire quickly being burned, but if the gas supply is on forever, then we will soon forget we ever needed the stored energy in the coal.