I think of e7s as being Pe-dominant. Both Se and Ne work for e7 because those are both novelty-seeking functions; it's just that Se focuses more on sensory novelty, while Ne focuses more on conceptual novelty.
7 is the signature EP type. I agree with the whole novelty thing (when I was planning for AnimeNEXT with my friend I was all OMG LET'S TRY OUT THIS EVENT AND THIS EVENT AND THIS EVENT). But I definitely enjoy sensory novelty too, as I'm sure Se enjoys conceptual novelty too (as long as it interests them; my experience with ESPs is that if you propose an idea they'll either find it interesting and play with it or they'll be like what the fuck).