I don't have a conceptual problem with "CGI in anime". I like CGI when it's used to complement anime. For example, in Princess Mononoke, the spooky demon tentacles are CGI, but it was blended so well you didn't notice. In Spirited Away, highly detailed inorganic objects that move, such as the plates mom and dad ate from, are 3D models. In Makoto Shinkai's earlier films, 3D models were used unobtrusively in the background, such as the windmills. All three instances of CGI improve the fidelity of the work and don't look bad.
What I don't like is obtrusive use of CGI, which typically happens when the studio tries to use CGI as a replacement for 2D animation. Like having 3D models as extras in an anime, like in Re:Zero. It's front and center and your eyes are focused on it and it looks absolutely awful. Or those crappy 3D model monsters in Ufotable shows (or, again, in Re:Zero), which are front and center and look awful.
Or in mecha shows. The whole appeal of mecha anime is looking at beautiful 2D animated mechas, and then they get replaced with crappy 3D models. I know that 2D mecha animation is becoming a lost art, but, come on. If you're going to do a mecha anime, actually invest the money and set aside the time to train up your animators/acquire good mecha animators and do it right.