The argument is we have room to nudge inflation back to normal while also helping people.
Inflation is an average of price increases. You get price increases when supply can't expand as fast as demand while keeping the price of inputs the same. This depends on whether there are supply bottlenecks and what the nature of those bottlenecks are. There have been some supply bottlenecks due to deliberate closures, but mostly temporary.
In a recession, the assumption is that there is extra capacity already, particularly for labor.
I took this with OP stating (incorrectly imho) that a certain policy was not inflationary. I am not advocating that all inflation is bad.
Our current economic situation is more like 2008/2009 than a boom year where the velocity of money, not technically perhaps but the idea more or less, is very high. Even the decade since the 2008 crash has seen low inflation, at least in the US, and we've seen double digit drops in revenue and sales volumes for several months let alone numbers for the rest of 2020.
For a relevant example here, would WeWork/Uber/Tesla have raised billions in private funding in late 2009 or early 2020? Did the last decade boom in private equity cash on hand drive ability to gain investment ex. increase velocity of money in private investing? None of those companies are critical day to day for US citizens or the economy, at least compared to major banks or grocery stores and maybe they did actually see huge investments during difficult times, but I think the thought experiment stands.