Yes. It is theoretically possible for a dictator to rule with the actual best interests of the people in mind, rather than a misguided belief about what those are, or else a complete lack of concern for anyone but themselves.

Since political beliefs tend to align along party lines, the party of such a dictator does matter somewhat, however little that might be.

Unfortunately, any benevolent dictatorship would be at constant risk of turning, and almost certainly be doomed to turn, into one of the other two options.

Even less fortunately, most dictatorships skip the benevolent step entirely.