Actually, that's impossible to say.
First, Serge doesn't have to use the Record of FATE at any time of his life.
Second, I think it's a big leap to say that Records of FATE can influence dreams. Sure, FATE could order people through the Record of FATE to dream about this and that, but that doesn't mean it's going to happen. People usually dream about stuff that's happened to them during the day, or stuff that's been on their mind for a while. They don't just happen because someone instructs you to.