Sadly, with our perpetual copyright, the vast majority of this work is illegal. At any time, the NYT or other purveyors of fake news could demand he remove all of their data from his archive, or sue him for copyright infringement. Modern copyright terms are insane.
We can give full credit for that to Irving Berlin and a Democrat congress (not that Republicans didn't also go along with the grift).
If Trump truly wants to "make America great" a drastic overhaul of the copyright law, if done right, might be a good first step. Making copyright law user-friendly rather than antagonistic toward creators and innovators should result in fewer lawsuits and more freedom for artists and composers. Technology has advanced way beyond physical, analog methods of printing books and magazines, as well as preserving live performances, speeches and music for future generations.
Laws need to accommodate both old and new, and for "limited times," if the Constitutional mandate is to be followed.