No, it doesn't fit the pre-supermarket definition. It's self-service, prices are labeled, it has a selection of various items in each category, it has a meat department. Plus it has the word supermarket in the name.

This is what a pre-supermarket grocery store looked like: https://en.wikipedia.org/wiki/Grocery_store#/media/File:1909...

That's definitely closer to my idea of a "grocery" versus a "supermarket". It seems like I see them in some small older towns but anything that had a lot of recent construction usually sees larger supermarkets with big parking lots even for small towns.

There's a Dollar General nearby but the parking lot isn't that big.

You do see smaller, usually not great, markets located especially in more rural areas. Sometimes they're affiliated with one of the bigger chains like Hannaford's.