If we find that private jet use negatively impacts the price of or access to commercial airfare for the 99.9% (e.g. if we discover that commercial airports are congested by private corporate traffic, or that private airplanes are getting unfairly preferential access to scarce parts such that commercial airlines can't repair their planes), then yes: we should consider regulating and in some cases preventing private jet use.

In other words, the metaphor is bad.

Your metaphor is equally bad.

By that logic business class should be banned because business class customers get preferential access compared to economy customers and they use more energy.