It seems that the logical thing to do would be to put money into the economy through directly giving it to citizens, and then take money out of the economy through interest rates, by making it more expensive to borrow and reducing business investment. Typically you want to put money into the economy in a hurry, in response to a crisis, but you want to take it out gradually, so that businesses can plan ahead. MMT's framing of this still seems backwards, even if they've realized that fiscal and monetary policy are two sides of the same coin. You'd also get a lot less political resistance to the fiscal policy side if it involved giving people money rather taking money away from them.
Has this been put into practice in large countries before?
Frances’s GDP is 15% smaller than the single US state of California, and its population is only about 1.67x that of California.