No, not what I meant :redface2:
Gotou does not strike me as that kind of person. If anything, he's the kind of person who, if he does become a Rider himself, will know that while Eiji obviously means well and has a good heart, he's not the best when it comes to such a serious conflict. He's a veteran of sorts to Eiji's inexperienced naivete, so Gotou would probably try to dissuade Eiji from fighting or at least give him instructions and tips during battle if they fight alongside one another.
Gotou isn't stupid enough to ignore what Eiji's already accomplished, and he isn't a random dick who will throw away someone who can help fighting the Greeed.