The author has assumed 'constant dollars' and to have an intelligent conversation, we have to do the same.
(IMO, it is entirely reasonable to expect hyperinflation or hyper-deflation at any time. But, back to oil in constant dollars:)
Some would expect a smooth and efficient rise in oil prices to reduce demand and ration oil supply. But this is extremely unlikely since oil markets are far from free. Numerous oil producers subsidize oil to their citizens (Venezuela, Saudi Arabia) while Europe's consumption is burned under heavy taxation. Oil is not consumed under true market conditions in very many parts of the world. Worldwide, oil consumption is essentially planned; not exactly centrally, but in autonomous national blocks via gas tax.
In a market economy, the economy is made stable through many sellers and buyers, each trying to get a good deal. I don't think this is the situation with oil. So there will probably be volatility in price and supply.