Potentially. Why would problem solving ability entail emotions or ability to suffer, even if it had the ability to ask for things it wanted? It's a common mistake to assume those are inextricable.
The fact that empathy is not an emotion does not at all change what I'm saying. If you don't experience emotions, then you cannot experience empathy either
> An intelligence without emotions would be a psychopath. Empathy is an emotion
"Empathy is an emotion" was, in fact, an essential part of your syllogism.
Regardless, we're potentially talking about something sufficiently inhuman that the term "psychopath" can no longer apply. If there was an ant colony that was somehow smart enough build and operate machinery or whatever and casually bulldozed people and their homes, would you call it a "psychopath", or just skip that and call it "terrifying"?
