Actually, he just stated NTFS is better for HDD, not the reasoning behind WHY it is better.
NTFS offers many advantages over the FAT file system. Mainly, it's better at making the most use of the disk space. It's also more reliable and and secure than FAT. It has a higher individual max file size limit, so you can keep larger files on your system.
FAT, on the other hand was very old. Over the years, it had been upgraded occasionally, but it was at the end of it's everyday life as newer ways to allocate data emerged.
Think of it this way: FAT is the top rung of one ladder, and NTFS is the bottom rung of a much taller ladder with a safety cage. You can still climb both ladders, but will be able to reach higher with NTFS and feel safer doing so.