I have plenty of observational, empirical data that contradicts this apparently theoretical statement. Not just licked spoons but breakfast knives with bits of toasted bread and peanut/butter, Greek yogurt, French moldy goat's cheese, bits of tart, croisssants or other confectionary, etc. All of those can be detected in significant concentrations in my honey jars. Not to mention that simply screwing a lid on an already-opened jar doesn't quite seal it, certainly not firmly enough to cut off the oxygen from it.
Yet I have never known honey to spoil. I mean it's quite remarkable. I think I have seen honey that has stayed at the bottom of a jar for years and it just doesn't go bad. I wouldn't eat it, because it tends to look a bit bleugh, but it won't go off (and that's how it ends up staying in the jar for so long).