Many successful foreign entrepreneurs in Taiwan are unable to speak Mandarin. If you purchase the Book, you will come into contact with the success stories of several non-Chinese speaking foreign entrepreneurs in Taiwan.
Having said that, many Taiwanese struggle to speak even basic English, particularly outside of Taipei. Hence, not knowing Chinese will be a definite disadvantage in certain fields. Opportunities may not present themselves. Doors may not open. Life in general will be a little more inconvenient. Communication may be cumbersome. Services may not be available. You will rely on others. However, even if you can speak Chinese, it takes quite a bit of study until you are able to conduct business in the language. So it may not be worth the time investment to master the language. In summary, there are certainly disadvantages to not knowing Chinese; however, knowing Chinese is not a prerequisite to success in business in Taiwan.