As I've said, you should just forget the naming, and look only at the radius, which is clearly indicated in that list.
Where can I find a list of what aircraft park at what gates in DFW?
Inside flightsim, for AI airplane, the rule has always been that, an airplane will be routed at the smalles parking that can handle that airplane. When there are multiple alternative, the Airline code takes precedence.
To know if your airplane can fit in a parking, just check the parking radius (as listed in ADE) against your wingspan. Half of your wingspan, of course, since the parking is expressed as a radius. For example, since a 747-400 has a 64 meters wingspan, it will fit in every parking which is has a radius of at least 32 meters.