This has been my experience. I led a book club at one of my jobs and it was poorly attended and those who did attend hadn't read the book.
My guess is that there is just a low percentage of people who meet all the criteria: 1) interested, 2) have the time to read the book, 3) have the commitment to read the book, and 4) social enough to attend the book club meeting.
I understand that many people are busy and may not have time to read the book or have a schedule conflict the day the book club meeting happens.
So unless your company is huge, you'll not have enough to keep a book club going. There also may be pressure to avoid using company communication tools to promote the club.