An easier way to think about it is 1/2 their game check income escapes state income taxes while the other half (road games) will be subject to same, at statutory rates. So your math is generally correct assuming that’s their only source of income. Gets trickier for the dual country residents or guys here on visas.
This was Derek Jeter’s fight with New York State/City for pretty much the entirety of his Yankee career because he owned a place in Manhattan as well as his, um, ‘house’ in Tampa. IIRC Jeter eventually beat them clean.