I'd disagree. IMO: I think that the Manga elevates itself more through the artist's top-notch caricature work and excellent sense of which moments to draw, which isn't as well-realized in the anime. The anime has great animation and colouring but has a significantly narrower range of character expression and doesn't capture the quirky personalities of the main lead as well, which makes him feel somewhat more generic as a character.
I suppose we can say they take different approaches and do different things. Since I recently started the anime and it's pretty fresh in my mind, I just took a look back at chapter 1 to think about the differences. Yanami's post-dump scene is handled very differently.
In the manga, you see all these flashbacks, and she has a very sweet and innocent look as she drinks the soda--honestly, while reading that, I didn't even realize it was the guy's leftover soda. It just seemed like we were supposed to see how charming Yanami is as she recalls romantic memories.
In the anime, she comes across totally differently, as broken and unhinged. There's a clear focus on her picking up her crush's leftover drink, added details to make it seem grosser with the chewed straw, a dead look in her eyes as she drinks it, etc.
Personally I found the anime rendition far more straightforward and entertaining. In the manga my opinion of Yanami started off as, "aw, what heartbreak for this delicate maiden", whereas in the anime it was more like, "wow, this girl just bluescreened". Plus we got more commentary from Nukumizu about it, instead of just silence from him while Yanami's memories played. I felt this made Nukumizu seem less passive in the anime and more an active part of our experience.
There's absolutely an art to manga pacing, to imply a sequence of events without actually seeing it occur. And that's very respectable, because in manga format it gets drawn out if you show everything. But I like how in anime you can see everything without it feeling drawn out, and feel that that's a plus. The main disadvantages in anime are that it's harder to do narration without it feeling slow (while that's natural for manga), and the chances of actually reaching the end of the plot are tiny.