You're right. But that doesn't make sense to me. I do the same thing. The point is that I would end up clicking on the search result anyways had the paid link not been there. What am I missing here?
It is a very cheap way (quality score is high for your own business name) to advertise the fact that "this is a business that is reputable/savy/spending enough to invest in ads and appear on Google." I really don't know how much that is worth, but it must count for something. Especially if you use Adwords for branding campaigns.