My cousin and many others I knew were getting more money from unemployment than when they had their jobs during covid. Though I don’t believe that caused inflation. Inflation was an international phenomenon and countries experiencing inflation had very diverse stimulus responses to COVID. It seems the Russian invasion of Ukraine, a pivot to a goods based rather than services based economy, coupled with climate changed caused shortages and retiring boomers caused it.
Sustained inflation is always caused by money printing. Most of the mechanisms you are describing would only effects shifts in relative prices.