Motor oil in consumer packages on the shelves in stores today was most likelly crude six to twenty four months ago; the distribution chain is long. The price of oil talked about on the news is usually futures contracts, for delivery 3 to 6 months out. Price from the tanker or pipeline today is from contracts made some time ago, sometimes a year or more. FJ went bankrupt because it got caught buy two and three year crude purchase contracts at too high a price.
Price of fuel products changes faster because those ate also sold as commodities, with the market shorter term than crude oil contracts, most of the time, because the contracts are for much smaller quantities and qucker delivery.