No stira. The map is to inform you which merchants have a physical location. A merchant may have a physical location, be on the map, and be ineligible for other reasons (eg nonprofit etc.)
Nowhere in the terms does it say that all those on the map are eligible.
It is also likely that AMEX will end up paying out to many that are ineligible.
One can ponder whether it’s:
1. they don’t care; or
2. they care, but enforcing it would be too time-consuming/expensive.
Within “2.” one can question whether they have an expectation of self-reporting. I could imagine that each of these could have halachic implications.