The paper looks at corporate and income tax but completely ignores sales tax, so it treats Oregon as being the highest tax state (with a 9.1% income tax rate, 0 sales tax) while a state like Texas is treated as a 0% income tax state when it has an 8.25% sales tax rate for major urban areas.
Looking at their scatter plots the correlations they present look weak (the summary doesn't provide the numbers) and there is no credible theory for causation.
"Star Scientists" (defined as 99th percentile income earners, 300K+) don't make location decisions based on taxes, they make decisions based on who has the infrastructure to support their work and money to pay them.
Corporations might make decisions based on tax policy and they might have to take employee income taxes into account when creating a competitive compensation package for a high value employee, but one or two percentage points on the salary of a few high end employees is not going to move the needle on the overall corporate budget.
Obviously taxes are part of the big picture for corporations deciding where to locate but they are probably not a big part. A state advertising low taxes may be signalling that they are "business friendly" but they are also signalling that they have an overall poor business environment and are desperate to get people in the door.
Market theory suggests that taxes will adjust to an efficient level which is the maximum that individuals and corporations are willing to pay to locate somewhere. Consequently, you can judge that high tax states like California offer the best environment for business because the market is willing to pay their high taxes in order to locate there, while a hypothetical no-tax locale would be the worst environment for business because even a small tax would cause residents to leave.