"Well I'm not very wary of surveillance, though I am wary of the police wasting their precious resources."

Rather misses the point. If the perceived threat is low,the surveillance remains, but superficial. Resources are concentrated where the threat is felt to be highest. This means threats from all sources must to be studied before they can be categorized as hi, lo, or zero.
You may feel it clever to trivialise the activities of those monitoring you, perhaps you feel the same about the sharp end of surveillance.
For example in the last four years UK reaper drones have carried out 2604 surveillance missions. Weapons have been released on 880 occasions during these missions. Collateral damage is normally an estimate, but undoubtedly innocent children and civilians have been killed.