Well, I think that the CBO did an analysis of the issue back during Obama's second term, as they were talking about a minimum wage increase. Was that the kind of paid industry study you were thinking about, or was it another one?
Everyone always assumes that if they just give businesses time, if they bring it in over 3-4 years, employment won't be affected. What no one realizes is that all you are doing over those 3-4 years is giving businesses time to figure out how to be more efficient, to do without the same number of employees that it had before.
You can't say that it affects all businesses the same way, because it doesn't. For some businesses, labor is a huge cost of doing business. For others, not as much. In some businesses, even a tiny increase in costs (labor or otherwise) makes a huge difference because they are in an industry that is very price sensitive, other businesses, not so much.
But it's the businesses that are going to be most affected by the increase that people like Manchin are going to hear from, and that's why it was a misstep, at this point in the nation's economy, to make that move, imho.