Doesn't the same logic apply to parking tickets?
No. Parking is leaving your possession somewhere and should apply to the registered owner. It is not illegal to own a car that someone else used to run a red light.
Do parking tickets result in “a formal finding of guilt, and consequences tied to a driver’s record”?
Almost, except parking tickets are still typically civil “owner-liability” citations tied to where the car is parked, while red-light violations are intended to target the driver’s conduct
possibly, although I suspect the quote from above:
> Although nominally civil, traffic infraction proceedings retain every substantive hallmark of criminal prosecution...
Is going to matter here. A moving violation (ex: red light) is quite different from a non-moving violation (ex: parking) in how they're handled, and often how they're classified.
Ex - my in state, a moving violation is a criminal misdemeanor, while a non-moving violation is entirely civil.