If Iran's 10 points become the basis of the peace, it ratifies Iran's sovereignty over the strait, at which point they can raise the price. It will be years before alternative routes devalue control of the strait, during which time Iran can siphon a lot of money out of passages taxes.
One thing I've not heard much discussion of is alternative routes. In the early days of this war there were discussions i of pipelines but it tapered off pretty fast
Pipelines are possible, but they take time to build. The pipeline would have to cross several countries (depending on what route is taken - look at a map) which makes it much harder. Will Oman even be interested in this? Saudi Arabia I guess could build a pipeline to the red sea entirely internally, every other country in the region would have to cross someone else.
Still if Iran does charge the $1/barrel of oil they are proposing expect the countries in the region to look into a pipeline. That is a lot of money and a pipeline could potentially be cheaper in the long run.
The big issue with alternative routes is that they don't really solve the problem. Ports in Oman and Yemen outside the persian gulf are still close enough to Iran to be subject to attack by drones and missiles. Saudi Arabia has invested considerably into pipelines to the Red Sea but Iranian-backed Houthis can strike there. Even if there was a safe port somewhere, the pipelines themselves would be easy targets. There's a reason no alternative route has been pursued over the decades.
The most economical option is to just invest in the military technologies to pass through the Strait. Minesweepers, missile defenses, an appropriate number of escort frigates - an appropriate naval force could most certainly escort ships through. It's just incredibly dumb to start a war with an adversary that has been threatening to close a major waterway for decades immediately after decommissioning your minesweeper fleet and while there are zero frigates in your navy.
