My oil industry knowlege comes from a 30+ year industry guy from Oklahoma who posts on TikTok as Mr. Global. (He also has longer form talks on YouTube.) That said, you figured out what he's been posting about for a month now.
Futures market is just paper. Monopoly money and titles. Its a theoretical value on an estimated number of barrels of oil.
Actual cost of oil is the Spot Price and that is what the oil producers are actually buying that tanker of oil at. So yes, there is a lag.
BUT, prices jump at the station because we pay the replacement cost of gasoline. When Wawa raises their price $0.75 overnight, they're expecting their next tank to be expensive. (Funny how slow the price drops when the replacement price is lower.)
Also for how it's all related, Mr. Global has been adamant about the spot price being $40(ish) higher than futures prices. The longer the strait is reduced/closed to shipping, thats going to make the spot price for existing oil rise. Being a big, lagging chain, you are again correct that we are not out of the woods just yet.
Had the cease fire allowed the strait to free-flow oil tankers again, there may still have been enough slack in the entire chain to absorb Trump's stupidity. The longer this drags out, the less slack in the supply chain.