Most large transit agencies have a map that shows just their rapid transit services, which are usually rail. One good test of how an agency thinks about bus rapid transit is whether they include it on their rapid transit maps. Los Angeles County MTA's rapid transit map, here, does include the Orange Line, which is exclusive right of way but is hampered by signal delays. But they don't show their non-exclusive Metro Rapid product at this scale, which makes sense to me.
Here's what a bit of the Brisbane's regional rail map looks like. Note the busway is shown, extending north and southeast from downtown.
Note that they have shown only the exclusive portion of the busway, the segments where buses are coming every few minutes and have an exclusive, separated roadway that protects them from almost all delay. I would argue strongly that by any service-based or mobility-based definition of rapid transit, that service has to be included. In fact, it's much more reliable than light rail on the surface with intersections. In its speed, frequency, reliability, and station amenity, it does exactly what any rail rapid transit system does. You can decide that you won't use it because you don't like the ride quality, but a lot of people just want to know where they can get to via rapid transit, and this map is trying to be the answer.