Most (maybe not all) basic food staples have store brand alternatives. Even junk food does. Sometimes (maybe even often) those products are just repackaged version of the name brand.

If the goal is to decrease money going into advertisement budgets, then the best thing you can do is buy store brand when possible. Even if both products are ultimately made from Nestle corp, the cheaper store brand will send less money into Nestle's pockets which means less money for advertising.

That's what I mean by "avoiding nationally branded products". A package of "signature frozen peas" will taste just as good as the "birds eye green peas" without sending money to a major company (Looks like all the major companies have spun off their frozen food departments, but at one time this was a Nestle brand. I spent too much time looking into major frozen food brands :D).

The advertisement budgets for the grocers are simply a lot smaller than that of the national brands across the board. It also doesn't seem (to me at least) to have been really spent on invasive advertisements.