That's a bunch of assumptions. First of them being that there's anything to suppress in the dead bodies. Suppressing Naruto might mean nothing else than that they interfere with his normal bodily functions, which would surely make sense even if they were nothing but remote control devices for zombie soldiers. We have seen the Pain Jiraiya captured was quite comatose when Nagato was nowhere in vicinity and did absolutely nothing after the rods were removed and Nagato arrived.