Have to agree with this, as the main supermarket in our part of South Carolina is Publix. Fortunately there is competition in our area from Food Lion and Kroger. And I guess Walmart, but I can't stand shopping at Walmart.
Harris-Teeter is a great supermarket on nearby Hilton Head Island, but can be a bit pricey. Better quality and selection of products than Publix though.
I miss our excellent (and more reasonably priced overall) supermarkets in my former home state of Connecticut: Shop Rite, Stop & Shop and Big Y (plus wonderful family-owned markets like Geissler's and Highland Park Market).
I live in north Florida.....Harris-Teeter failed miserably here.
Aldi has bought out winn Dixie.
The grocery business is super competitive