This is definitely not true. FAANGs have done a lot of lobbying for improved conditions for those on H1-Bs, including the elimination of the caps that have people waiting for decades for the permanent residency, despite being approved for it.
I am someone on an H1B visa myself. FAANG lobbies for things that make it easier for them to control H1B's in any way they can, while showing that they're all for a better experience for visa workers.
Few instances were FAANG lobbied against immigration proposals or supported proposals which would give them a bigger advantage:
1. The Republican sponsored immigration bill in 2007, proposed to let applicants be able to apply for green card themselves, and that corporations would not be permitted to apply for green cards for their visa workers. Big tech objected, with their real motive being that if visa workers didn't require them for filing their green card applications, then that way they couldn't keep these workers for long enough in the few years that it takes for them to finish the application part of the green card process and for the worker to get their green card.
2. The infamous S-386 bill, which proposed that the country of birth quota be not applied to employment-based green card applications. FAANG heavily lobbied for it, not because it would make things a lot easier for the tons of Indian H1B visa workers (who form 75% of the H1b workforce in the US).
A congressional study had proved that if this bill were to become law, then this would only provide temporary relief to the many, many Indians in the green card backlog. In less than a decade, Indians and all other nationalities would be back to waiting for green cards for a few decades; currently, non-Indian and non-Chinese applicants get their green cards within two years of starting the green card process. FAANG supported this bill, because if it were to become law then they'd be able to keep their visa workers around, irrespective of nationality, a lot longer than usual.
Pages 10 and 11 are of particular interest in the congressional study.
As an Indian H1B myself, S386 was a piece of shit proposal, which would only help Indians who applied for green cards between 2011 and 2017'ish (no wonder they were and still are the most vocal supporters of that bill). Everyone else would still have to keep waiting for a few years to decades, including the ROW categories that have no waiting period at all.
Getting involved in immigration could stir a bipartisan hive causing further restrictions.
Wait for other special interests to move to far extremes of their preferred parties, focusing on things that will never reach consensus, leaving the center unguarded.
