My understanding of manga industry is rather limited since so little of news is translated to English. From what I have seen in few stories that were, and what's there in manga itself, it looks like comic westaboos are not very common and animation ones even less so. Most people interested in western comics are ones working in manga industry. Occasionally, western references or inspirations can even be spotted in some manga. I do not know much about cartoons so I will focus on comics.
>Capeshit
It is not held in too high regard. Most fans got into this through films, but they are a sliver of the market. Only characters I have seen with substantial followings are Batman and Deadpool. Spider-Man, Superman, X-Men and other popular american titles are recognized but not read by many. I heard that new licensed Batman manga where Joker is taking care of Baby Batman is doing very well, as did the recent Deadpool manga. Originals do not get much attention in spite of films.
>Creator Owned American books
They are held in higher regard, but people tend to care about older stuff or ones that started in 80s and 90s. TMNT, Crow, Hellboy are some examples. I have seen them in translated to Japanese and referenced in manga and anime. Moore's work after Watchmen is unknown, and he himself is not a particularly big name in Japanese circles from what little I have seen. Other big names like Kirkman, Morrison, Ennis, Ellis, and Vaughan are nobodies. Frank Miller is probably the biggest American name in Japan overall, to the point that several Japanese swiped his artwork. Battle Angel Alita is the highest profile manga to do it.
>Fringe Indies
These are more popular than "mainstream indies." Helltaker for example is getting a lot of attention, more than books like Saga. Some kickstarter indie projects got a good amount of Japanese readers supposedly.
>European
They tend to be more popular that American books from what I have seen, and held in much higher regard. Europeans regularly get awards for the best foreign manga, while only one American book ever did. Japanese industry magazines interview European authors. Moebius is probably the biggest name, followed closely by Enki Bilal. There overall seems to be more European stuff makin it' way over outside of TV, films, and video games. Tintin gets some appreciation while Asterix for some reason is unknown.
Overall, everything foreign in comics is very niche in my experience. Even among westaboos. Most of them are far more interested in western films, tv, video games, literature, other fine arts, cuisine, and history.