In particular, large excursions of blood sugar and insulin can cause down-regulation of insulin receptors resulting in insulin resistance, called type-2 diabetes. (BTW, some people can treat this with cinnamon. For others, enough cinnamon would cause even worse problems.)
You can recover from type-2 diabetes in reasonable time by cutting sugar and refined starch (e.g. white flour, white rice) from the diet. It is actually quite easy to do this if you cook for yourself, and surprisingly easy to learn to cook for yourself. It is most fun purely from-scratch, and no more work, and tastier. Start to think of fast-food as not really any sort of food at all.
Many people nowadays seem to find their way to cooking for themselves with an electric pressure cooker, because it is so fast.
A better question is if there's any reason not to. You should never blindly assume that biological research on one chemical translates to another. Seemingly small structural differences often (but don't always!) result in wildly different chemical properties. Additionally, biological pathways are incredibly (almost unimaginably) complex.
In this case, there's not a binary choice between fructose or glucose. You don't have to eat either as 100% of a diet, you can mix and match. Whether there's a reason not to eat pure glucose is not a better question health-wise, it's a much worse question than "should I intentionally eat either fructose or glucose as a large part of my energy intake?"
Honey is no different from HFCS or sucrose, from that same place: it, also, has no fiber.