We might have more jobs in absolute terms, but we also have more population. What's relevant is the relationship between the two, which I think is best measured by the workforce participation rate. The picture being painted there is that people are starting to drop out of the workforce, permanently. Is it because they don't want money, or is it because there are not enough acceptable jobs?
I think the situation is actually worse than the workforce participation rate makes it appear. We've kept inventing new positions for middlemen and bullshitters which is masking the problem of useful jobs going away. But that path is not sustainable. Already within the past couple years, we have seen the statistics show worker productivity in the US dropping.
Our current economic system is good at creating jobs, since it's "employment or die". What it's not good at is creating good jobs. Jobs that are productive/useful, and pay a living wage. We are becoming an economy of middlemen. We have call centers full of people who are essentially telephone panhandlers, providing little of value. We've got paper shufflers baked-in to our corporations at every level, whose main job is to justify their own salary. We have fast-food workers who can't sit down for 2 minutes because they have to appear to be busy with *something* at all times, whether or not there is anything to be done. We have entire industries, like the health insurance industry, doing nothing but shuffling money around and skimming a percentage off the top. We are ignoring the population's basic medical needs in order to sustain those particular jobs for another few years. (How this system maintains a reputation for hyper-efficiency baffles me - ignorance is the only way I can explain it.)
I see the US economy as having an employment bubble right now. I would actually call it the bubble, since it pervades all of our industries and our society at such a deep level. The ideas we have about employment are going to need to be seriously adjusted to make it through this crisis. The longer we wait, the worse it's going to be when the bubble finally pops. Up to and including the collapse of Western civilization. The economic model we used in the 1800s isn't going to cut it anymore. The economy we had in the 1950s won't ever come back. Technology has advanced beyond that, and there's no putting the genie back in the bottle. What hasn't advanced is our society and our government. Many Western countries are taking slow steps to address the automation problem, while the US is sticking its head in the sand. Instead of being proactive, we are blaming Mexicans, Muslims, Chinese, Indians... basically everyone but ourselves. Then we continue to wonder why we fall behind.