Oil prices are so high that CO2 emissions from fossil fuels are dropping
(www.scientificamerican.com)
There's no shortage of oil or oil products tbh. It's just less plentiful than it usually is, and transporting it out of the gulf is quite costly right now, need to pay a lot of danger fees to the ship crews and there are expensive insurance policies that you pay for literally by the hour apparently (because when you're insuring 100 mill worth of crude + a ship and crew in a warzone, well, that insurance is pretty costly).
Rather, people are burning less because prices are up.