While 24 hours can be used to classify a car as abandoned, it was my understanding that that distinction is cause for much of the confusion and frustration regarding rules and enforcement of street parking on public roads.
I've seen where HPD will respond by chalk marking tires in certain areas, but I was told that that was usually only if someone complained. If not, then I don't think anything happens. Then even if a car is chalked, I've heard that they typically allow something like 2-3 days to try to contact the registered owner before doing stuff like towing. However, I guess it depends on how persistent the person who complained is. Think unless it's obviously junked, it probably takes a lot to get it towed.
At my dad's house, there are cars that remain in the same spot, often unmoved for weeks. But those are typically cars that belong to the people that live in the house where the car is parked or somewhat nearby. The street isn't particularly challenging for parking, but I can see areas like in Lanikai and Manoa where parking is super tough and people are more inclined to complain.