Since "Pulp Fiction" from the past life had succeeded in obtaining the Palme d'Or at the Cannes Film Festival, the possibility of winning it again was quite high. Moreover, Adrian, who was extremely knowledgeable about film history, clearly remembered that "The Best Intentions," which won the Palme d'Or at the 65th Cannes Film Festival the following year, was considered one of the most mediocre films ever to win at the festival.
There's a certain dark humor to it, really. Quentin produced "Pulp Fiction" purely for entertainment, yet ironically, it was interpreted in all sorts of ways by critics and ended up snatching the Palme d'Or. While this success was partly due to the public relations efforts of Miramax, it's undeniable that those enigmatic film critics played a big part.