I think that twitter thread and many other inflation hawks are taking it for granted that the Fed must manufacture a recession to bring down inflation and that they themselves would were they J Powell. I think Powell and the rest are willing to let inflation run above 2% if it shows real signs of coming down.
The most frustrating part about the wage-price spiral people sounding the alarms is this chart here:
i think you're right that the fed delivering a kill shot is the most salient concern, but i think it's also true that there are just all sorts of conflicting signals and it's totally possible that the economy is going to take a dive regardless of what the fed does or doesn't do.
re. choosing between the dual mandates, i think it's relevant that since the first few months after it kicked up, inflation has been far outpacing wage growth, so it's not completely clear to me that giving inflation a little more room to run would be beneficial to wage earners.