Without wings, it can't fly, therefore it's no longer an aeroplane.....just because it once was,doesn't mean it is now.
Otherwise, why not go to the local bone-orchard, dig up the corpses and charge them with loitering?....yes,patently absurd.
This is/was a (temporary) road vehicle. If Plod wants to kick upa storm,they should look to roadworthiness regulations (construction and use?) and violation of any mandatory insurance requirements.
Personally, I think it's a heavy-handed over-reaction, given the location and populace(or lack thereof).