Well if this were common to operative only I would have noticed (I'm a concealment OP). Also the stun you're talking about is common to the agent class, so snipers have it too (DERP).
The perma stun can occur after getting either the electricity stun (agent, bh, inquisitor) or the dazed stun (consular, etc).
Not long ago I was fighting republic on the Civil War warzone and I got perma stunned in the middle of combat and was just kinda wobbling while looking up at the sky. Not sure how many classes have that stun animation on the republic... but I notice when it happens.