Bees will only start a queen cell from drone eggs under one condition I know of and that's when you only have drone eggs. If you have worker brood in the hive, then I would say the queen cells have queens in them. If you have a drone laying queen they probably have drones in them.
If they bees have had nothing but worker comb it's normal for them to draw a frame of drones and rear them. If you put the drone comb on the outside edge of the brood nest they will use it when they need to and fill it with honey the rest of the time.
"It is not surprising, therefore, that such cells are constructed in hives governed by queens laying the eggs of males only. It is no longer extraordinary that these queens deposit in the royal cells, eggs of the only species they can lay, for in general their instinct seems affected. But what I cannot comprehend is, why the bees take exactly the same care of the male eggs deposited in royal cells, as of those that should become queens. They provide them more plentifully with food, they build up the cells as if containing a royal worm; in a word, they labour with such regularity that we have frequently been deceived. More than once, in the firm; persuasion of finding royal nymphs, we have opened the cells after they were sealed, yet the nymph of a drone always appeared. Here the instinct of the workers seemed defective. In the natural state, they can accurately distinguish the male worms from those of common bees, as they never fail giving a particular covering to the cells containing the former. Why then can they no longer distinguish the worms of drones, when deposited in the royal cell? The fact deserves much attention. I am convinced that to investigate the instinct of animals, we must carefully observe where it appears to err." -- FranÃ§ois Huber 21 August 1791