Yes, that is a "quirk" of Amazons storefront.
Whatever is listed as "Visit the XYZ Store" is generally reffering to the brand of the product you are currently viewing.
The seller can, and often is, totally unrelated. Exept for the brands that have an actual official Amazon Store, iE are selling on Amazon themselves.
Snappy Tools does not seem to do that, but that could be a visibility difference, since i am browsing from germany.
I see only two sellers for the product: "uptown deals" and "Capital Supplies"