Use this site to find my previous works: https://coffeesource.net/vimukthi/
I haven't written any posts about the 3 you mentioned But I've had many conversations with few people like @durzo

Evangelion was more of a puzzle than something to interpret. Most things about it had solid but vague story. Some things could have been interpreted in different ways. But most things were solid but also meta much like my B&W Photo Challenge submissions: https://steemit.com/photography/@vimukthi/no-rules-broken-seven-day-black-and-white-photo-challengewhite-photo-challenge-3rd-circle-in-h

I didn't dislike Deja Vu or even GitS Arise. But both of them were below the quality of the rest of the franchise. Deja Vu totally felt like an OVA episode while the OVA actually felt like a part of the franchise. In the case of RahXephon the OVA was practically my favorite episode.

I wouldn't call Gen my favorite writer. I don't really have a favorite writer. But Gen feels to me as the most relatable writer. He's like that actor you love that also kind of looks like you. For an added plus, he understand his own characters. When I watched Monster (some time after finishing both Psycho-Pass Seasons) It felt like Naoki Urasawa (the creator) didn't know know shtick about his own creation which was acutally created through indirect means (I suspect). When I watched Monster I could swear I knew Johan better than the creator and later I came to think that Gen Urobuchi felt the same. Namae no nai Kaibutsu (Psycho-Pass) ending is a term that's deeply related to the entire story and Themes of Monster. Since Naoki Urasawa didn't get the character he ended up creating, the final ark of Monster was a complete nose-dive. Psycho-Pass on the other hand not only directly took on its chaotic neutral antagonist (Not Villain) but also tried to show the full extent of the being by pitting him against the Sybil System Which was again expanded upon the second season (Artificial Idiosyncrasy and its ultimate failure resulting in above 800 Psycho-Pass)

Gen had both the intellect and the balls to confront and explain what made Makishima, Makishima. I'm only disappointed about him not talking much about what Psycho-Pass actually mean (A form of self-judgement which Makishima makes peace with resulting in his Idiosyncrasy.) Makishima is a witness without judgement.

Monster talks about a world without names (Nameless Monster). What are names but labels. One who makes peace with his/her individuality (Like Howard Roark from Fountainhead which is a character inspired from an architect who designed a home that looks much like the home of the professor that Akane and Kougami visit) stands out without the constrains of the society and become unfit to be judged by existing labels and moves on to the Blue and Orange scope of morality.