No.

100% not. To equate fun to play to people buying the game is 100% not how you should say making more money is more people buying the game. Money is money. If the game is mediocre but it is fun enough, it can get more money than a game that is more fun but doesn't have as many opportunities to spend.

This is why things like dark patterns exist that try to get you to spend money through FOMO and other mechanisms like loot boxes.

You can argue that all of these things are people having "fun," but I wouldn't define that as fun to play.

Finally, none of these necessitate people buying the game, but rather spending money in the game. Usually, it's free games where people buy a secondary currency to spend on virtual items. Mobile apps, for example, are huge with this.

So the real answer to your question on multiple grounds is no.

Edit: Now, I will give you that people do have to make a choice, but that's like saying that gambling addiction is not real and it's a choice, or drug addiction is real and it's a choice. The reason for alcoholism and Alcoholics Anonymous is bogus because it's just a choice, but it would be dangerous to classify it as just a choice.