I think the strategic advantage is to drill, baby, drill, and profit from those natural resources as much as possible while we're still in the Oil Age. If the Middle East runs dry it will be a strategic victory for all those countries and a loss for the other countries where high production costs kept the remaining oil in the ground, just sitting there never having generated a penny in profits, with renewables and electrification of transportation an even more imminent threat to the oil market.
Beaver fur doesn't have much economic relevance today--indeed, even the Hudson's Bay Company ceased fur trading decades ago--but the United States and what is now Canada are much better off having exploited that resource for profit while they could.