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Isn’t it often the having written a book that gets you invited on those shows?
It helps, but there might be more time-effective ways to build public platform than spending 1-2 years writing a book and 6 months promoting it.
Like what? Starting a podcast or a YouTube channel come to mind, but those options seem to require just as much dedication. Though distinct pieces of content can get lots of exposure quickly.
So many ways. Marketing is a beautiful thing to master. Then you will need alts to interact normally. 
Books are a medium to transmit information, public platforms are a different subject. If anything podcasts are another platform for one to market books, or go on a book tour. More accurate comparison is audiobook, which could be condensed enhanced for a podcast style video.
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