You're not wrong, but we see the same thing with the "labor shortage" rhetoric, which is just conservatives and business owners refusing to acknowledge supply and demand in the labor market.
Both are valid concerns when demand is inelastic. I'd say this is true in regards to essential goods and services (you can't choose not to buy medicine or healthcare). I have yet to see many cases where it's true for labor. It seems in most cases companies can either implement new automation or just choose not to run as much if they have a labor shortage.