Except you don’t need a heavily armed person to issue a citation. If you’re going to have people with the ability to inflict deadly force, only deploy them when deadly force may be required.
Traffic stops can get pretty violent. When they do, it's almost always one of three reasons: possession of drugs or an illegal firearm, driving under the influence, or a standing bench warrant for their arrest.
I can vaguely imagine a world where illegal firearms and drugs don't exist, just firearms and drugs. But warrants and DUI are going to remain, and you're proposing sending unarmed people to deal with that.
Someone will run that experiment, the unarmed social worker trying to issue the citation will be badly hurt or murdered, and we'll go back to cops doing that job. Hopefully none of this will be in a county where I live, I don't want to be around vehicles operated with impunity by people who know they can just accelerate away.