Front flats are far more problematic then rear flats. It is hard to keep the bike upright when the front tire goes flat. A sudden front tire flat can cause you to crash. It just depends on how much value you put on your skin, bones and other parts of your anatomy.
I will push a tire pretty far. I have ridden tires until their cord is showing. But even on my most deranged days, I would have replaced that tire.