Agreed with OP. Personally I feel it fits better with an Engineer than an Operative. Most Operatives tend to always be on the move while most engys tend to guard their turrets and area.
I've found it to be exceedingly useful for clearing out rooms of guys as an operative. The operatives don't have a lot of offensive strength, the UAV gives them that while being more useful to the team with the enemy discovery. Honestly, as an operative, you spend a lot of your time waiting to kill your enemies and waiting for the right time to strike. The UAV fits in perfectly with that theory.
If the Engineers got the UAV it'd be significantly over-powered in tandem with their already powerful turrets.
But then again, now I can hack enemy turrets and use my uav to help hold an area. Operatives also have more defensive capabilities.