This confirms the, imo, common-sense position that no, oxidation is not just a slow fire. A fire is a specific type of oxidation process that involves the production of significant light and heat. In other words, it is only true that oxidation is a slow fire if one adopts a definition of fire that is significantly different from its ordinary usage.
Rusting of metals fits that bill since heat is in fact released (just a super tiny amount and rather slowly), so it's _technically fire_ - although fire more commonly implies the rapid release of copious amounts of energy as part of the process.
