I believe that would result in many more people running through yellows as they learn they have extra time.
I’m not in favor of the camera at all. But Houston had a HUGE problem of people running red lights.
When I moved here more than 2 decades ago, the joke was you could tell a native as they were the third one through the red light.
Red light cameras here lost the biggest part of violations as soon as poor traffic engineering or traffic control equipment malfunction was corrected, and SF area drivers are the worst on the planet.
Among the common occurrences:
Camera company employees were allowed to adjust light times, and they immediately shortened yellows to illegal times. After being caught (by a civilian) and corrected violations dropped to non profitable levels.
Camera companies surveyed and recommended cameras for lights they knew (and didn't report) had inoperative traffic volume pavement sensors resulting in a short green and backed up traffic in one direction. Repair of the sensors dropped violations to zero at these lights.
Concealment of stats showing accident increases at camera intersections and that a one second all red transition eliminates 99% of the dreaded T-bone collisions without issuing a single violation.
It is also likely that the driving habits in Houston were deliberately manufactured by the revenue collectors. They were here.