Arizona Revised Statute 28-1591 has a specific exemption for service of a parking or standing violation:
B. This article does not require that either the initial notification or a subsequent summons and complaint for a parking or standing violation be issued or served as required by this article.
This section carves out an exemption for parking infractions in that they don't need to be personally served.
If there is no response to the complaint left on the car, the statute further states:
If it is necessary to issue a summons and complaint because there is not a satisfactory response to the initial notice of a parking or standing violation, the summons and complaint may be sent by regular mail to the address provided to the department by the individual made responsible for the alleged violation by the applicable statute or ordinance. Service of the summons and complaint is complete on mailing.
When service is complete the court of jurisdiction has personal jurisdiction over the defendant and can enter a default judgment.
You are correct in the rest of your statement regarding moving violations reported by camera systems - the violator must be personally served. If personal service is not achieved then the complaint is dismissed with no record.
This article has a good explanation of the process for service for moving violations. The article references precedence established in Tonner v. Paradise Valley Magistrate's Court.
Arizona requires personal service in order to create personal jurisdiction for the court. Alternatively, the defendant can waive the personal service.
In Arizona, if one takes an action recorded on a traffic camera that causes a complaint to be issued that person will receive in the mail a form that is a waiver of service. Signing such a form and returning it tells the court that you waive personal service.
Refusal to sign and return the form does not remove the requirement the state has of personal service. If the state wishes to pursue the case they will need to provide personal service. If the state does successfully conclude personal service then the defendant will be liable for the initial fine as well as the cost of service.
From the article and the case:
Without completed service, the court does not obtain jurisdiction. “The incomplete service left the trial court without jurisdiction, i.e., without authority to enter the judgment.” Id., Supplemental Opinion, 187 Ariz. 487, 488, 930 P.2d 1001, 1002.
Ignoring a personally served citation, i.e., a ticket, allows the court to enter a default judgement. In the case of a citation that was not personally served and where personal service was not waived means the court never had jurisdiction in order to render a default judgment.
There is a time limit within which personal service must be completed for a complaint. I've found sources that claim both 120 days and 180 days from when the court was made aware of the complaint. Some sources also claim that the court must be notified and processes started within 10 days of the date of the infraction. If service is not completed within that time frame then the complaint is dropped and no record is retained.
So, yes, parking tickets do not have to be personally served according to statute and, yes, a person in Arizona has to be personally served with a moving violation citation. Failure to achieve proper service results in dismissal of the complaint.