I think what is happening is two things:
1. The name. Air BUS. A bus, get it? A type of conveyance. Boeing does not have that same ring to it. If people think of an aircraft as an Airbus, that is a great branding accomplishment. Like calling a photocopy a Xerox or a tissue Kleenex.
2. Airbus makes aircraft. Boeing is involved in aircraft, satellites, defense systems, missiles, space launch vehicles. So, I do not know what a Boeing is.