Under normal circumstances, you should never put bought honey out for bees, unless you know the beekeeper who produced it and he can assure you it's free from the diseases that bees get. A lot of commercial honey, for example that bought in supermarkets, will be imported or blended with imported honey, and will likely carry bee diseases. UK bees fed with that honey will catch those diseases and the hive will be severely affected and may even be killed out.
This, from here
"Never feed bees honey unless it is from their own colony. Honey can carry harmful spores, which are perfectly safe for us humans but can be most deadly for bees. Imported honey can transfer foreign diseases, which then could kill off native or indigenous colonies."
But in your case, having well and truly cooked it, it might be OK. But only 'might be'.