I won't agree or disagree with your comment, I will just say that the parent poster's comments are all unsupported by data. Clearly, we had a realm only two years ago with (1) millions of people more in the labor market, (2) inflation at 1/4 of what it is now.
We also have been told for two years that inflation like this was impossible, despite editorial after editorial from non-Keynesians saying that we should expect high inflation and supply shocks. This is because supply shocks inevitably happen when capital is mispriced and aggregate demand is forced via government spending. The notoriously smooth supply chains (ha ha) of Soviet command economies was not a historical aberration generated via inflation.
So I won't be listening to the people who have been wrong for two years. Their economic model is wrong, and we can expect their predictions to look like the "Cloud of Points" section of the Phillips curve from the 1970s [1].
[1] https://www.stlouisfed.org/open-vault/2020/january/what-is-p...
The FRED numbers saying who is seeking work is the data and far supersedes the source you're not even naming. I'm guessing you're upset because a certain % of the population isn't in the workforce. Well, that's not what full employment is. Random commentors are on the internet don't decide the "full employment" really is. The term full employment applies to those people that are seeking work and can't find it. Unemployment is quite low.
> We also have been told for two years that inflation like this was impossible
"Inflation like this". I'm amazed that we've returned to inflation levels that were the norm for many, many decades during times of relative prosperity, and inflationistas think that they've suddenly been vindicated. No, I'm sorry, 7% isn't the Zimbabwe Republic inflation you've predicted for decades ad nauseum, and no, we've not suddenly adopted a Soviet command economy.
Not very strong evidence but I think it would support the idea that more families are taking care of children in the household economy rather than the cash economy if it is recovering less quickly.