Mayor: The law prohibiting pedestrians from crossing against red lights serves no useful purpose.
Conclusion
The law prohibiting pedestrians from crossing against red lights serves no useful purpose.
Evidence (after all)
To serve a useful purpose, a law must deter the behavior it prohibits.
Assumed Intermediate Conclusion
The law prohibiting pedestrians from crossing against red lights is not deterring people from crossing against red lights.
Evidence (since)
People who always violate this law (they always cross against red lights) are clearly not deterred by the law.
And people who always comply with the law (they never cross against red lights) would never be crossing against red lights even if there weren't a law, so they are also not being deterred by the law.
Evaluate
The author is trying to prove her conclusion with some "damned if you do, damned if you don't" binary logic.
If you're X, then you're Y. And even if you're not X, then you're Y. Thus, you're guaranteed to be Y.
Here, this sounds like this:
If you always cross against red, not deterred by this law. If you never cross against red, not deterred by this law. Thus, this law ain't deterring anybody.
However, in the first example, it was a true binary: X vs. not-X.
In this argument, it's not a true binary: always cross against red vs. never cross against red.
What about the people who sometimes cross against red? We're not being told whether this law could have any deterrent effect on them.
Goal
The author is arguing that since this law doesn't deter the behavior it prohibits, it serves no useful purpose.
We can't argue with that connection because there is a stipulated premise that "if doesn't deter, then serves no useful purpose".
Our only means for objecting is to argue that this law does actually deter the kind of behavior it prohibits. It would be hard, based on the premises, to argue that people who always crossed against red or who never crossed against red would be deterred by this law, but we could argue that other people are deterred by this law.