A really, really long time. In fact, it ain’t gonna happen. Not ever. Sugar syrup is made from table sugar, sucrose, which is a disaccharide of fructose and glucose. Honey is made from the nectar of flowers. Bees are clever, but not clever enough to make honey from plain old sucrose.
Honey has many things in it—all derived from the plants which produced the nectar. These components include other sugars as well as trace amounts of vitamins, minerals, phytochemicals, antioxidants, and flavorful compounds. It is all these optional extras that give honey its flavor, aroma, and color.
Bees will collect sugar syrup, dehydrate it, and store it as if it were nectar. What they end up with, however, is inverted, dehydrated, and capped sugar syrup—not honey.