When bees are kept going on sugar water they aren't as healthy. Ours only eat it until they start foraging then they ignore it in favor of natural sweetness.
Antibiotics of course isn't good. The sugar water doesn't have the pollen which provides protein and vitamins and minerals (honey has some pollen mixed in it which is why it's good for allergies). It's just pure carbohydrates. It's like us eating candy instead of veggies and meat. Sugar water doesn't provide bees with good nutrition and if they are kept going on it instead of their natural food sources they are more likely to get disease and be invaded by mites and such.