Eminence in Shadow is probably my favorite light novel series, and, like you, I am there for the stupid humor and misunderstandings that Cid brings. It is one of those series that has a very different feel depending which adaptation you consume. Since you say you are a fan of the humor, I recommend giving the manga a shot. It takes the jokes of the light novel, cranks it to 100, and then adds another layer of visual jokes that are also really funny. The manga also is drawn in a mostly silly way without very much fan service. The anime adaptation has, as you suspected, a lot more fan service with a whole episode each season pretty much devoted to it, and is more serious and edgy in tone usually.

In my opinion, Gigguk does a pretty good job giving a mostly spoiler free couple minutes to each series as to why he thought it was good. I watched Heavenly Delusion and it was probably the show that surprised me the most last year. It is a really interesting mix of mystery, post-apocalypse, sci-fi, and coming of age that I found really engaging. Also, the animation looks gorgeous. After the first season aired, I needed more and, with no announcement yet of any kind of season 2, I went and binged the manga instead. It is also quite good.

Finally, 100GF isn’t to everybody’s taste. The anime is even more unhinged in a lot of ways than the manga.