Depends on what type of honey are you using. You should always aim to use as unprocessed honey as possible. Energetically raw honey is pure, motherly love that nourishes your body and can be a cure for many illnesses. If it is processed, it quickly loses its healing properties and becomes just as harmful as sugar. It also loses its properties if heated or put in hot water/milk, which causes it to become toxic. That might be a reason why for some the supermarket honey causes allergic reaction - some processors like to heat it for better texture, which is just plain wrong. So choose wisely
Sugar is just a burden for your body and should be avoided at all costs.