The trouble with Burton isn't inaccuracy so much as unreadability, or at least clumsiness, because he translated into an idiosyncratic variety of English never used by anyone else before or since.

Here's an example from the introduction to Dawood's translation, which I happen to have handy:

"But she rejoined by saying, 'Allah upon you both that ye come down forthright, and if you come not, I will rouse upon you my husband, this Ifrit, and he shall do you to die by the illest of deaths'; and she continued making signals to them."

I'm sure that's an accurate enough translation of the relevant bit of the Nights. But it's not good English. "Allah upon you"? "do you to die by the illest of deaths"? Maybe the idea is to give it an exotic flavour, but the stories themselves provide enough of that, and so far as I know the original language wouldn't feel exotic to a native reader.