this is just flat-out not true. look at the NLRB [0] and OSHA [1] for the two most obvious examples of the federal government regulating employment conditions.
there is certainly lots of employment regulation that also happens at the state and local level, but why is that an argument in favor of not doing federal regulation?
eg, if I'm working in North Dakota and get injured on the job, then yeah the state government will adjudicate my worker's comp claim, and generally speaking the feds don't need to get involved.
however, if the company I work for in ND requires me to sign a non-compete contract that supposedly applies in all 50 states, and might prevent me from moving to South Dakota or another state - how is that not a concern of the federal government? this is interstate commerce, which the constitution very explicitly gives the federal government power to regulate.
0: https://en.wikipedia.org/wiki/National_Labor_Relations_Board
1: https://en.wikipedia.org/wiki/Occupational_Safety_and_Health...