> The fact that different professions earn different amounts of money is, in fact, an indicator that the higher paying professions have a shortage of people able to perform the work.

While prospective purchasers tend to describe a situation in which market clearing price is above the price they are willing to pay as a shortage, it's not. A shortage is when nonprice rationing results in unmet demand willing to pay above the actual trading price.

There's also a planning concept of a shortage in the form of supply inadequate to meet some threshold deemed essential, e.g., by society or authorities (which tends to result in economic shortage as price controls or nonprice rationing are imposed). Market price differences alone don't establish the existence of either type of shortage.