He is the chairman of the board so i imagine he is the majority shareholder.
He can write it into his will that the original films never see the light of say again, just as easily as he can put it into his will for no more star wars films, like say his kids wanted to cash in and make 7-9 with all new actors.
Though Katie Lucas is not sympathetic to the haters as she calls them and it is unlikely even if she was allowed to she would release the originals were she in fact the future head of LFL.