Yes, as far as I know, they will each count seperately. Unless they submit all charges to a "central office". But I don't think they do.
It is not an idine restraurant, but if you go to say Red Lobster, the charge is from "store # xxxx, Hartford" and "store # xxxx, Las Vegas". They do not all say "Red Lobster, Miami (or where ever their HQ is)". Each location has their own machines, so it should be counted serarately.
I am doing the same with the UA and US promos (again 2/4/6/8 with no minimum), just going to Idine takeouts and getting a soda. My UA max bonus cost be under $20. Now I'm working on the US max, again for $20 or less!