Also, businesses actually benefit from and prefer to operate in a well-funded, well-regulated, free society. Those are the societies with freedom, customers, competent and fair legal systems, safety, money, infrastructure, etc. The corporation is part of the society they operate in - they aren't a customer of it, they are the makers of it (just like you and me). They have a stake in making it work well. That will be true wherever they go.
They might observe that most leading businesses were developed in wealthy countries (wealthy localities, even) where those businesses pay taxes - more taxes than now in the US, for the most part. Even in the US - what great industry has come out of a low-tax area? Oil doesn't count.
I share your skepticism generally, but it seems like this agreement is a good step towards getting corporations to pay taxes. There's no point in starting a shell company in the Caymans if your taxes are paid based on where your products were purchased.
Sounds like this could devolve into record-industry accounting.
"Treasury also takes seriously the protection of the U.S. fisc. Our Greenbook proposals will bring corporate tax revenue as a share of our economy closer to its 21st century average before the 2017 corporate tax cut. Meanwhile, our Pillar 1 comprehensive scope proposal will be largely revenue neutral for the United States since we will be on both the receiving and giving end of the proposed profit reallocations. Indeed, one interesting feature of Pillar 1 estimates is that they demonstrate the extent to which both U.S. and foreign-headquartered corporations have managed to shift profits derived from sales to U.S. customers outside the United States for years, including under the 2017 tax act."
https://mnetax.com/wp-content/uploads/2021/06/Yellen_letter_...
The quote from the Secretary of the Treasury did answer the nature of your concern. She has been on reserve boards for almost 30 years, and is head of the department that is concerned with all financial matters in regards to the federal government. If that's not good enough, I'm not sure what would be satisfactory for you.