Peak oil implies that the demand actually reached a level to justify that peak level of extraction and with a decline[1] of the production that level of demand

Peak oil implies that the demand actually reached a level to justify that peak level of extraction and with a decline[1] of the production that level of demand will be unsustainable. If peak oil is reached due to a temporary situation (like a war briefly driving up demand numbers) then maybe it's not an immediate issue - but we'd never have the same supply capacity again. It could be that in the 41st century earth is still producing 100 barrels of oil a year - but that's not a useful amount. Running out isn't the issue - the issue is that we've got an economy geared to consume a specific fossil fuel and constantly growing with a dependency on that fossil fuel - if we suddenly outstrip supply we could be left in a lurch where we have a reduced capability to run the machines that'd let us build machines that are less reliant on oil. 1. The common understanding peak - but even if things just remained level supply-side and demand grows it'd be the same outcome