The only dino that'll agro an unconscious paracer is a Rex. So if those are taken care off and your cautious about not bringing in extra friend with you. You don't have to worry about other creature damaging your tame.
On Scorched Earth the Paracer with its platform saddle is a needed tame. You can put a cannon on it and use it for taming Rock Elementals or use its high weight and health for carrying large loads of supplies around through dangerous areas.
You can put an outstretched platform with railings on front of paracer and then put moschops on the platform then jump on Rex or giga and kill stuff but don't harvest so when the paracer comes the moschops will eat the corpse and gather tons of prime.