If the auto insurance companies quit advertising, would this really save the driver money?

If its not Geico, its Allstate. if its not State Farm, its Progressive. these auto insurance companies spend a fortune on television advertising, in order to compete with each other. lets face it, even if you paid less for auto insurance annually, you know they are going to cut your benefits or raise your deductible to make up the difference. i can only assume these insurance companies think the general population is a bunch of dumb bunnies and cannot figure out their scheme. i have had Nationwide Auto Insurance for many years. i pay a little more for the coverage i require and i am totally happy. you save money on your auto insurance by being a safe driver and avoiding traffic citations. do you really believe that swapping auto insurance frequently, is a good move? would less advertising save you and i money on our auto insurance premiums?