It should prevent other companies from getting your data. It does not stop Equifax from looking at the data they’re hoovering up. It’s going to take a law (something like the CCPA/CPRA) to destroy their Work Number product (by creating controls so tight on worker employment and compensation info a business can’t aggregate and sell it profitably).

Call your state and federal legislative representatives.

(It does appear California residents might be able to have The Work Number delete their data: https://myprivacy.equifax.com/personal-info)

Edit: I qualified my first sentence because Equifax might just ignore your workplace history freeze and hand out your info anyone.