Actually it does:
OSHA's statuatory authoity flows from that concept:
Incensed critics are calling Biden’s proposed “vaccine mandate” an outrageous usurpation of power. They need to take a deep breath. It’s not really a vaccine mandate, the only statutory issue is procedural, and there’s no constitutional problem. Calling Biden’s order a vaccine mandate is...
legal-planet.org
That has not ben challenged on constutional grounds, a least not sucessfully. Therefor. IT IS CONSTUTUTIONAL and it matters little whether the mandates are state or federal. You people are just having a hissy fit because it is about Covid which your criminal Lord and Master, Trump has politicised for his ownbenefit, specifically to rile up his base of moronic minions