@Noctis If you follow your own logic then an engineer should die when his claymore goes off as well.
The drone is an ability of certain classes I believe. (even if this is not true the following wont change)
The drone pilot is the soldier that operates the drone, the drone is his weapon.
When the drone is shot his weapon fails and he can continue the battle in person.
If the pilot is shot then the drone loses its operator and would hover without recieving orders to shoot at targets or go somewhere.
If there is a respawn game then essentially the drone pilot appears at the battle field again as if he was never killed and his drone not destroyed. He needs to launch his drone from his new location.
So in between the resparn he needs to pilot his drone back as well.
Ideally the drone has a "fly home" function that is activated when the pilot or drone is killed, during this return home the camera should be off.
If respawns cause you to lose used gear then you should be able to re-stock on gear during the respawn. (or not, depending on specifc battle rules)
Ingame resources need to be used to stock up on gear to use in in-game.
If this is true for amunition and claymores or other equipment then this is also true for drones.
When you run out of them then you cant use it in the game, even not your drone untill you have enough resources to buy a new one ingame.
Altough the phisycal drone is the same you may use a different type of drone or with different payload.
But only one per battle, being killed is the only way to switch. (also depending on battle rules, switching gear or re-stock could be on or off for a specific battle)