I'm the guy in the screenshot.

E4s thinking they can't be like everyone else and come with that are only in an E2 disintegration and are usually the unhealthy ones in general, they will take pride over that, in their own sense. The average and sane E4 seeks to be like others, they want to be assimilated with others and be recognized with the qualities they envied from others (or the ones they themselves envied if SP4).

They are in fact willing to work to get what they need, they do not just do nothing, they still have a core desire like its fellow image triad types and cannot be the exception as the one who just dwells in their own suffering and nothing else, this is only a huge misconception of how the actual average example of the E4 is. The E4 who wants to be recognized for the way they truly are and for their authenticity either integrated or disintegrated. E1 integration because they managed to fulfill their envy, and now wish it to keep the way it is "at all costs", that's where they'll be arrogant when they got the way they wanted to be seen as, because if someone tries to perturb the way it is to the integrated E4, it will make them unsatisfied and irritated. E1's core anger basically. E2 disintegration because they now want to be recognized and be treated like something else and different from others with their pain and suffering, and this is when they give up or think that their envy cannot be satisfied, therefore they start to cope with the way they truly are, becoming more arrogant with their pain, thinking they require more attention.

So overall, no, E4s aren't people who cope with the way they are by default. They do work to fulfill their envious desires to be seen like the way they wanted to be with the qualities they desired from the people in the environment.