The list of people claiming that maths won't work who then get bulldozed by mathematicians is long.
At some point you're stacking bricks and hitting nails.
AI just won't make you stack bricks much faster :)
You can reduce quality of cleaning. But it's very hard to clean faster and better at the same time.
These industries are not going to be optimized by an AI. The only optimization is lower overhead or lower salaries.
Sure, we could have robots in daycare, but I don't think lack of AI is why my wife would have concerns :)
Teachers, cleaners, and daycare workers may see 0% gains, but don't be surprised if that is made up for by 10% gains the productivity of tech, law, marketing, advertising, manufacturing, government, etc. (okay maybe not government).
Consider all the labor and capital spent across all the advertising real estate in the world. Commercial, online ads, billboards, labeling. The inputs to make all these things are now greatly reduced. To increase productivity, it doesn't matter that the market is flooded, just that it's much easier to make these things.
Bunch of tiny companies would love to hire a mathematician to optimise what they are doing to get a 5-10% improvement. Unfortunately a 5-10% improvement in a small business can't justify the cost of hiring another person, and good mathematicians with business sense and empathy are a rare commodity.