Is there any benefit to damaging enemy Sensors?
Damaging an enemy ship's systems in a battle reduces their capabilities, the same as them doing damage to your ship's systems does. However, unlike everything else on a ship, the only function Sensors have in battle is providing you with more information about the two ships.
Does damaging an enemy ship's Sensors have any effect on their ship, aside from giving its crew something else to repair? Given that enemy ships never seem to be selective about what they target on my ship (e.g. uselessly attacking empty rooms with ion weapons), it's not at all obvious to me what use, if any, enemy ships actually make of Sensors.
Solution 1:
Well, I guess there's two answers to your question.
In general, it's always more useful to target shields, teleporters, weapons, drones, life support in roughly that order. If your target is escaping, priority would be engines and bridge obviously after taking down shields. There's never really any practical need in a battle to take down the enemy's sensors
As to whether they confer any kind of noticeable ability on the AI that would be removed with their loss, I can't say I've ever noticed anything like that. A drone with no sensors is equally capable of targeting specific critical systems with pinpoint accuracy then missing and hitting hull for the next 6 shots or so.
So, overall, no I wouldn't say there's any noticeable benefit, and possible no benefit at all in damaging enemy sensors.
Solution 2:
Overall, there's no real benefit to disabling sensors. However, there is one particular edge-case that can be useful: enemy Mind Control.
If you've ever had Mind Control on your ship, you would know that you can only target a room that you have visibility in. This can be from Level 2 Sensors, or by having your own crew on board their ship, or even by dropping a Bomb on their ship (very briefly - you'll need to pause to take advantage of this).
If you disable the enemy sensors, they no longer have vision of your ship, and therefore cannot engage Mind Control against you.
However, they can still activate MC on any of your crew if you have boarded their ship - if their sensors are only damaged, they'll still see you on board. If the sensors are destroyed, they'll see you if the crew comes to find you and MC can then be triggered.
Additionally, if they board your ship, any crew in the same room as them (or adjacent rooms in the case of Slug boarders) are vulnerable to MC too.
So all things considered... you're better off disabling their Mind Control if they have it. Sensors are almost never worth targeting, except maybe to give them something else to fix as you mentioned.
Solution 3:
Damaging the enemy's Sensor do absolutely nothing since they can always see you without it anyway. Beside, enemy ships do not have Sensor installed on them.