Kenneth G. Wilson (1923). The Columbia Guide to Standard American English. 1993.
consequential, inconsequential (adjs.)
Consequential means of consequence and hence important, whether applied to people, as in Shes a good actress and a consequential one, actions, as in His speech was not a consequential one, and the press scarcely reported it at all, or things, as in That white limousine looks consequential, just the thing to carry an aspiring candidate. In the case of people, it may also mean self-important, as in She kept casting consequential glances at those around her, but nobody seemed curious about what they meant. Inconsequential is an antonym of consequential and means unimportant, trivial; it is a much higher frequency word: Both she and her ideas are inconsequential, so nobody pays any attention to either.