The legitimacy of the Chinese Communist Party (CCP) is affected by Taiwan in several ways:

1. Monopoly on Political Power:
- The CCP has made a clear decision to maintain a monopoly of political power. The issue of Taiwan is intertwined with this as the CCP's approach to Taiwan is seen as an extension of its desire to uphold this monopoly (01:23:01-01:23:29).

2. Economic Performance:
- The CCP has historically used economic growth as a card to claim legitimacy, but with economic growth slowing, this aspect of legitimacy might be weakening (01:36:27-01:36:29).

3. Democratic Governance in Taiwan:
- Taiwan's democratic governance contributes to its moral high ground and puts pressure on the CCP in terms of international image. The United States and other democracies may exert pressure on Taiwan to democratize further, highlighting the contrast with the CCP's one-party rule (01:20:00-01:20:27).

4. Taiwan's Wealth Compared to China:
- Taiwan is much wealthier than China on a per capita basis, which raises questions about what China could have been like if the Nationalists had remained in power. This comparison could indirectly affect the CCP's legitimacy by offering a counterfactual model of governance (01:19:31-01:19:54).

5. Nationalist Legacy in Taiwan:
- The Nationalists engaged in a comprehensive after-action report on why they lost the mainland and concluded that corruption and the need for land reform were significant factors. This introspection and subsequent actions in Taiwan, such as land reform, stand in contrast to the CCP's rule on the mainland, potentially affecting perceptions of legitimacy (01:20:18-01:20:27).

The CCP's stance on Taiwan is thus a complex issue that affects its legitimacy both domestically, through its governance and reform policies, and internationally, through the contrast between Taiwan's democratic system and the CCP's authoritarian rule.