I would say that they have no power if you don't buy on credit but that's not true. I have to agree to a credit check to get a job. I hate to say it but I have forgotten where else. I had to agree to a credit check for something else in the last couple of years and I don't remember why.
Credit scores are key to many aspects of modern life.
I look at why I can't get my credit score up to the max of 850. The number 1 suggestion on the credit reporting sites for increasing my score is to have a recent history of real estate purchase - my house has been paid for for 25 years. If you don't participate in the financial arena in the way that those companies want you to, you're not going to participate in society at all, if they had their way.
Edit: Oh, I remember the other place I had to have a credit check: changing my car insurance. Expensive advertising costs money, even when the star is a lizard. They need to be sure you can pay. In fact, the price of my insurance was related to my credit score. Luckily, I had this insurance before I bought the truck and, as far as I know, they didn't check it again when adding the truck.