The real e7
Modern descriptions are outright ridiculous. If your familiar with MBTI they describe the e7 as more of an ESFP then a 4d Ne type. The issue is that so few people read the original sources, including the creators of online descriptions. This creates a kind of game of telephone. e5 wants to be an impersonal observer becomes e5 is logical becomes e5 is smart. The same thing with e7.
If you look at Ichazo's ego-types, the start of it all, you'll be amazed. This is the reason so many Se doms or Fe doms, or even other types like Fi doms type as e7, even though that really doesn't make sense. Here's a link to Ichazo's ego-types if you want to read about them: https://davesenneagram.com/type-interpretation/the-ego-types-in-brief-oscar-ichazo#google_vignette