A pidgin is a combined language. I don't think that the random importation of some words really qualifies; that's just evolution

Precisely. A language that borows from another language is either a dialect or a development. A pidgin is really a "least common denominator" minimalistic language formed by people who come together without a common language.

Most pidgin languages have a number of common features and structures, leading linguists to stipulate some sort of common genetic proto-language templates.