My point here is not to debate if the Mustang is a SUV, I don't personnally consider it one. My point here is to show that there is no clear/undisputable definition of what a SUV is appart from manufacturers labelling it as one and vague perception by the public.

Because for each definition you can give you will find an example of a car labeled SUV not adhering strictly to this definition and counter examples of cars not labeled SUV adhering at least partially to some of the definition.

For that edge we have the term "crossover" (for example, the Ford Edge)

Sports cars in the category of coupe explicitly lack the "U" in "SUV" - that this is referred to as vague or debatable in this thread is a bit maddening, so I will just end with, lol.