What you're essentially saying is that it's OK to run a red light as long as you deem it safe to do so. I'm pretty sure everyone who has been injured or killed as a result of running a red light, including the girl mentioned in the original post, used that same logic at the time.
You're completely removing circumstance and variables from the equation, there is no such thing in this situation as black or white, there is too much grey area. Plus my point was about you stating the problem was with people using their discretion when it comes to the law. I don't find it unreasonable for me to use my discretion to jaywalk at 3:00AM in the morning if there are visibly no cars, nor do I find it dangerous, given my skill and experience on a bike, to cautiously pass through a red-light on a one way street when there are no cars in front, behind, nor any pedestrians in site. Am I a bad pedestrian because I jay-walked, no, am I a bad cyclist, I certainly don't think so.
Why the girl ran the red light is inconclusive, no one knows the real reason as to "why" she ran a red light, but saying she ran it because she used the same logic as me has about the same weight as me saying she ran the red-light because she feared a zombie horde was chasing her. There is no visible evidence on either of these statements (although one is clearly more realistic than the other... which is the zombies....)
If you've ever jay-walked, ridden your bike on a footpath, ridden your bike and not walked your bike across a zebra crossing, ridden without at least one hand on the handlebars, ridden on the road when there is a designated bike path (all of which are illegal in Victoria) or if you've ever intentionally sped on country roads or during emergencies, than based on your argument on discretion you're a hypocrite.
disclaimer: there are no emoticons I know of that could portray that I say all this as a friendly debate without any kind of animosity, however, if that emoticon were to exist, i would use it about here ---->