Familiarity breeds trust. They aren’t trying to sell you insurance. They are trying to get you to think of their name when you shop for insurance. They want you to see Progressive and think, “Yeah, that’s a company I’ve heard of.” If you were choosing between two brands equivalent, and you had never heard of one of them, most people will pick the one they have heard of. That’s why 90% of insurance commercials are just repeating the name of the company and words like “trust” or “value”.
I would also like to have no advertising.