A ticket (citation) is a promise to appear before a court, not a conviction of anything. Law enforcement can cite anyone with only reasonable suspicion than a crime or infraction has been committed.
I may have used "ticket" in a far too imprecise way, that may get a bit too much into the weeds of terminology and specific laws in specific states for me.
By my understanding, though, this case wasn't about a citation to appear in court, it was about automatic issuance of a fine + points on the driver's license of the owner of a car filmed blowing past a red light. Of course, you can sue the government to contest the penalties, but unless you do, you are liable for even worse penalties if you don't pay.