I honestly doubt that guess. Mostly because while his name is shown a bunch on the screen and in the trailers, his games are usually so long and full of dense content. Which usually means you only see his name in the beginning and the end.

And he doesn't just bombard you with his own name. I remember playing Death Stranding, and every time a new character is introduced for the first time, in a cutscene, there is a movie-style text appearing with the character's name and their actor's name below, e.g. "Sam - Norman Reedus", in the same style as Kojima's own name. Except for him instead of character name + actor name, it is usually "Director - Kojima", then "Producer - Kojima", etc.

Realistically though, his games aren't as mainstream these days, and I doubt that a giant chunk of modern gamers (in the 15 to 22 range) have played any of his games. Which makes me think it definitely isn't due to those "10-second bombardments of his name" at the beginning of his games.