You really think the $1200 we got two years ago has made any impact at all on the prices we see on supply constrained goods today? Most of that money probably evaporated into paying off credit card debt or allowing for some breathing room from rent.
30k plus while you are unemployed is not a very significant amount of money in many places in America these days. Not enough to make a dent in inflation imo compared to the wider supply chain crisis that is driving inventory shortages and price hikes on goods.
Well yeah, when 25% of households have a wage earner who lost their job due to COVID that will send a much larger hit to the economy than those unemployment payments ever could. Even then they merely helped people float along.