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>> IMO the problem is that H1B employees are stuck at the employer for the duration of their green card process, and so end up both paid lower and unable to escape abuse.

This is not true. Typically you want to stay until i140 which for me took 1 year or so back in 2020. If I want to switch there are multiple other reasons I'd end up delaying the switch anyway (wait for vest, bonus etc ...)