The word "dishonest" in the general legal sense simply means they set out with the INTENTION to do something a reasonable and fair person would not have done.
In this case, it sounds like you have to determine motivation or intent, whereas with the "unlawful" definition, you just have to determine it belonged to someone else, and someone took it. In either case, though, it's clear he was both dishonest and unlawful by taking something that was not his and knowing he did so.
I do think there is a difference, though. And it was worth pointing out. Fraudulence also falls under the same legal guidelines of intent. It's a harder line. You have to prove clearly and convincingly the individual set out to defraud someone. Those instances are very difficult to prove. Intent to steal is easier, as the end result often bears the brunt of the evidence, whereas the end result in fraud does not.