“Status” fares for transportation are based on who you are, not on timing of purchase and travel or level of demand. Back in the heyday of rail travel, railroads used to post special fares for various sorts of customers, including deals for the clergy. With the advent of sophisticated analytics and greater control over inventory of capacity, status fares have changed. But you still find some.
For the most part, remaining status fares concentrate on seniors and youth. Otherwise, the only similar deals I know are contracted government and corporate fares—deals that aren’t available to the general public, either directly or through discount agents.