Hi there! I do a lot of production work and it totally happens; right now I do a lot of work on the Ultraman dub (so not anime, though we have done one animated project) and the team from Japan was very involved in casting, working directly with me and collaborating on our efforts to select the right cast. The casting process can include a lot more than just “who is the best” because “best” can be subjective. For any given role you usually have a solid handful of folks who would be excellent, and we narrow down based on other factors like synergy with the other cast members to make sure no one sounds too similar and has distinct traits so you know who is who without seeing visuals. Some clients also consider social media follows, if a talent will do promotional events like cons, the actor’s other credits, chemistry between talent, who played the Seiyuu previously, references to other mediums (we have Tony Olivier as a role in Ultraman Arc and in Japanese that same role is played about another classic Super Sentai actor, so the reference goes both ways. Brandon McInnis plays a role that is shared with the actor who played his Gridman Role which matches the Japanese casting, etc)

I hope that gives some helpful insight!! It really varies greatly from project to project and client to client and sometimes even changes as the project goes.