What benefit does "logic driven inline styles" over using style sheets buy you? That seems unmaintainable for a large project.
The idea is that you gain extra maintainability points by co-locating your styling with your logic and DOM, a pervasive design patter in React in general. If I want to style a particular view, I no longer have to concern myself with which stylesheets contain styling for that view. I can simply go to the React Component where that view is owned, and see the styling for it right there.
See also: