Drifting off topic but conventional dietary advice is not much use to her. We've made informed choices to exclude all processed foods and adopted a low carb high fat diet that has worked wonders. (Anyone interested May find the works of Prof Tim Noakes and Gary Taubes useful).
That's why feeding bees refined white sugar doesn't sit comfortably with us.
Refined white sugar DOES fit comfortably with the bees, however.
Unrefined sugars do not - they give the bees the runs, spreading disease within the colony.
Bees 'fuel' is specifically sugars, which are carbs. They get them naturally from nectars, and, to provide winter fuel, de-water and (enzymatically) 'part-digest' the sugars to a storable form that we call honey.
Honey is 16 to 20% water, and the rest is almost entirely fructose and glucose. Any sucrose in the original nectar is almost entirely split into fructose and glucose.
Bees need other nutrients, like protein and some oils/fats (which they get from pollen), and which are principally required for building new bees.
However, their fuel is sugars.
The need to feed bees sugars is to compensate for 'stealing' so much honey from them that otherwise (without feeding) they wouldn't have enough stored 'fuel' to get through the winter.
Of course, at other times, the beekeeper might have to feed to make up for natural shortages due to bad weather or extreme drought, which otherwise would threaten the survival of the colony.
However, in all cases, it is regarded as bad beekeeping (verging on fraud) for any sugars fed to the bees to end up in the honey crop.
As stated above, commercial bee syrups are available which are principally fructose and glucose in water. These are excellent bee feeds, taken and stored more quickly than sucrose syrup, but somewhat more expensive (though much cheaper than honey).
It is, in composition, rather like an unflavoured artificial honey.
Again, as stated above but deserving re-statement in the strongest terms, whatever you do, DO NOT EVER feed ANY bought honey to any bees. Honey can carry bee diseases - utterly harmless to humans, but lethal to British bees. It would be a dis-service not a kindness to feed any bought honey to honeybees. Please don't even contemplate doing that.
If your beekeeping leaves the bees plenty of their own honey, then you should rarely if ever need to give supplementary feed.
However, inflicting an "unconventional diet" upon bees will not lead to healthier bees. Instead, it is likely to lead to something rather worse.