That is the case for many. Personally I'll soon be at the point where working is counterproductive. The monthly benefit increases for every year you delay filing past the nominal retirement age until 70. After that they can't force you to file but the benefits will be as good as they'll ever be. Then at 70 1/2 you're required to start dispersing your IRA savings. Contrary to some people's belief all of this is taxable income and when added to your work salary can lead to an unpleasant surprise on tax day.
Part of the legislation was to encourage older people to get out of the workforce, creating jobs for the next generation. Unfortunately given the current birth rates the next generation tends to be low skilled warm bodies.
It's a slow motion example of what has occurred many times in history with bands of fellaheen wandering through the ruins of a civilization they no longer can comprehend. It's also a popular SciFi topic, q.v. 'A Canticle for Leibowitz'.