I believe this is the second graph you should have used: The labor force participation rate.
https://data.bls.gov/timeseries/LNS11300000
Unless you believe more people are wealthy enough to live fine without needing to work (the opposite seems to be true[1]), what matters is not the employment rate, but labor participation rate. That's not even considering whether average wages for those who are employed are are keeping pace with rising living costs. The good news is that, eventually, automation will reduce living costs. The bad news is that fewer people will have jobs enabling them to afford even those reduced living costs.
From the BLS website glossary: '"Productivity": A measure of economic efficiency that shows how effectively economic inputs are converted into goods and services.'
I don't see why productivity as an economic measure would increase in the early stages of a process where narrow AI and robotics start to take over human jobs. Until costs come down, when AI software and robotics becomes more generic, and standardized, and adopted outside of narrow industries, the economic effects won't be as dramatic.
The only escape from narrow AI and robots taking human jobs is the creation of more bullshit jobs (see: Graeber), or genuinely new job sectors, but I have yet to read any compelling predictions of new job sectors that will employ large numbers of people and can't be automated.
Creator jobs? How many people on youtube, or patreon, or self-publishing books, earn even minimum wage from the time they put in? If you dumped 1 million, or 10 million, additional people onto those platforms and told them their new job is to create full time, how many of those additional people could make a living wage, or even minimum wage, for the time they spend?
Service jobs? While the wealthy (let's say, upper middle class and above) might want human waiters, human voice support on the telephone, etc., I think that's vastly overplayed as an opportunity for human labor. I don't think that many wealthy people would prefer to deal with humans over good AI, and I don't think it would create that many service jobs even if wealthy people did mostly prefer to pay a premium for human service.
[1] With increasing numbers of people working beyond retirement age, more debt, and more couples both working (I have nothing against that, I'm just pointing out the labor statistical reality that families' standard of living requires that more, now).