Yuri's Spider-Man isn't iconic, Spider-man is iconic. Yuri's voice isn't particularly distinct - if I was told someone was voiced by Yuri I might go "oh yeah, I can kinda hear that it's probably him yeah" but it's not something I'd notice just by hearing. I would not count Yuri as a public figure at all, honestly. He would have to be incredibly recognizable above and beyond most voice actors to manage something like that, and usually only if they've
also done live-action acting like Tim Curry or Mark Hamill.
Hell, even
@Hallstein995 's example of SpongeBob would be closer, since Tom Kenny's voice is really distinct and easily recognizable.
Not even being in a famous thing guarantees public figure. Here's a good example - do you know who played R2D2 in the original Star Wars movies? Do you think you could pick him out in a crowd on the street?