Looper was more like The Terminator crossed with Akira, along with some very original takes on things.
They don't say it very clearly but after the Machines took over the world, and although they were losing the new war for control, until they lost that new war completely, they were the masters of the planet after a fashion and the Terminators were Skynet's Police officers who administered the law of the land which was the systematic extermination of humanity...
"Terminator" was a Time Cop chasing criminals in the past.
The T-80 in T2 was a dirty cop on the take.
Ditto with T3.
The force was rife with corruption.