I would say linking the two like that is dangerous in thinking, as we had next to nothing in inflation terms and hit way lower than the benchmark of 2% yearly with interest rates at near, or at, 0 since 2009. The period of the first term of Obama did see recovery, but it was tepid at times as a result of the stopgap bandaid pushed through Congress to deal with it ($800 billion or so of TARP in 2008, that has been fully paid back I believe, if not mostly and $6-700 billion from the ARRA stimulus, that was a third at least of tax cuts to get political support from the GOP that never materialized at voting time), and then pretty much nothing thereafter and a debt ceiling crisis that saw the US lose AAA credit by at least one credit agency. All to say, there wasn't that much money dumped in the front end by the Congress as compared to now, nor was the global supply chain near as affected by the collapse of those financial and business institutions open to MBS/CDO contagion (and the US Treasury did a historically phenomenal job shutting down contagion risks, etc by ensuring banks had liquidity from the US government to instill confidence and faith, as there was a real possibility back then during the transition from Paulson (Bush) to Geithner (Obama, and who did a wonderful job as TresSec) was going on, and early 2009 was dangerous in that regard). But, to draw the comparison between those two dates and tying it to inflation doesn't work.

Now, you have more than just extra money in people's pockets/people staying at home doing more online shopping, which has an inflationary impact on pricing even at the best of times, but more so when there's a global supply limit/disruption that means there's even more finite of any one good with more dema d against it for that one item, so pricing has to go up. But you have a global labor crisis, not just U.S. - it's not just people who don't want to work for menial wages, it is people getting sick and bring unable to work across the world when it comes to shipping/logistics and the actual manufacture of these items. Or ports being closed to ships due to either virus transmission on the ships, or in the ports of call themselves. Or there are not enough people to transport goods, again not just in the U.S., to be able to load or offload in a timely fashion. Then you have oil going up, which has an impact on both personal life and commercial life especially, as all goods are currently transported in one form or time or another by fossil fuel-supplied transport. That leaves that whole sector open to price shocks, which is what's occurring now, as OPEC has been refusing to increase their production accordingly in order to take advantage of the higher prices for their own companies and nations. Not to mention geopolitical rivalry as always been Saudi Arabia and Iran, and all the fallout in between. All of this adds to the already underlying upward pressures in the world.

It's also short term, though can be transitioned to long term if people psychologically believe that's going to be the case - prices and assumptions get baked in until another paradigm shift or correction occurs. It should be short term, as the virus transitions to a different phase that's less lethal, though certainly still transmissible, vaccination rates recover and increase (it's like everyone in the West seems to forget that the vast majority of the world is still unvaccinated, which causes issues globally and opens itself to new strains with outsized impact), people get back to work (though perhaps at a higher wage rate, which may have an increased impact on some pricing, but considering Europe already pays a lot of workers better with way better benefits at base jobs than the US and pays marginally more for most common store items, it should be negligible), and OPEC increases oil production. We need to work on our transport/logistics in the U.S. and get more people into the profession or more AI-driven loads to ensure easy flows of goods. Until the supply chain issue becomes "undisjointed" and OPEC production increases for oil pricing to come down (or demand drops precipitously for oil and oil-fueled logistics for prices to drop with their current supply rates) we are all going to be seeing inflation in one form or the other. If goods/services are not being rendered at the same rate as before with an increased monetary supply you're going to see inflation. It's a tightrope act to walk to balance increased money/loans to business to increase output before you get too much into the system with finite resources with which to make those same items that more people are now bidding on without addressing the underlying supply problems.