Isn't Thiel a billionaire? I don't understand why he would do so much to promote a £9.99 book.
I think even billionaires want their causes to succeed, so even if it's a book that accounts for 1% of their wealth, they still want it to do well and will say and do things that help it to succeed.
Also, as AngrySkillzz pointed out, the "ideas" put forth in the book are more important to them (than the money earned) and they can indirectly benefit their business by having these ideas, or opinions take hold.