A few things seem certain: If Bronny attends college, it will be at a school sponsored by Nike, which has invested heavily in his father since James entered the N.B.A. as a generational phenom in 2003. And ESPN, which has been a frequent collaborator with James, will be an eager partner. James’s longtime advisers, Rich Paul and Maverick Carter, will be conduits for anyone interested in recruiting Bronny. “I’ve got to listen to dad, Rich or Maverick,” said an assistant at a school that has expressed interest in recruiting him.