I can’t see this law impacting unless Trump qualified for the March 2016 Ohio primary, and after that decided to run under another banner.
Regardless, it does not matter. A Trump independent candidacy would not be about winning. I do not think any 3rd party run will ever win, because the Democrats can consistently get 34% to the polls.
Even independent leftists like Nader tend to draw college educated white progressives, not the Dems core of unions, minorities, etc.