....
They're not quite the same. A shooting brake was used for carrying guns, and only has two doors - like an estate-based van
True .... but near enough.
Does the amount of doors actually make a difference? Merc make a CLS Shooting Brake and that's just a slimmed down estate .... looks over practicality.
And a coupe should only really have 2 doors .. Coupe .... but Rover's P5 Coupe had 4 of them
Coupe originally referred to the roofline being cut. The P5 had a lowered(chopped in American) roof, and so qualifies.
Many bodywork terms were far more specific than their current usage; roadster and convertible
weren't interchangeable. Lots of words have lost their precise meanings; the bloke who can't mend your washing machine isn't an 'engineer'
Mercedes using shooting brake, BMW Touring or Audi Avant is just to avoid the common(and cheap sounding) 'estate', which is important when your business model is founded on pretentious marketing