With traditional digital PAY-per-CLICK advertising, are the big Marketing Companies aligned with the Business that is paying for the CLICKS for Profits?

No, they have opposing objectives to make profits. The Business that pays for the CLICKS will make more profit if fewer CLICKS are paid for per sale. The big Marketing Companies make more profit if more CLICKS are paid for per sale. They do not have aligned Profit and CLICK objectives; they are totally opposing.