I don’t think you read this article correctly… They say inflation was driven by a combination of factors, including the one the brookings article says is the primary driver. All 3 articles (Brookings, Reuters, and epi) agree more than you are presenting. EPI says corporate profits have abnormally contributed to inflation, not that they are a primary driver.
In short, the rise in inflation has not been driven by anything that looks like an overheating labor market—instead it has been driven by higher corporate profit margins and supply-chain bottlenecks.
Your link does not support your claims and does not refute the ideas presented in any article here, as you seem to want (I also don’t know who is saying all economists think something…)
Profit margins may not be telling us that very recent increases in corporate power are the root cause of inflation. But they are telling us that a simple macroeconomic imbalance of supply and demand is not driving inflation either, unless the relationship between a “hot” economy and profit margins and real wages is just coincidentally behaving entirely differently in the current recovery than it has in the past.