Gatsby's static architecture is highlighted as a major advantage in enhancing website security compared to server-side rendering platforms like WordPress, which are more vulnerable to continuous threats due to server-side code execution. Static sites, such as those built with Gatsby, reduce the attack surface by only executing code at build time rather than during user interactions, thereby minimizing exposure to supply chain vulnerabilities common in ecosystems like npm. The discussion also emphasizes the importance of measures such as Sub-Resource Integrity (SRI) and Content Security Policy (CSP) in securing third-party scripts, which pose significant risks as they execute on every page load. Furthermore, the conversation underscores the role of website security within a company's broader security strategy, cautioning against allowing the website to become the weakest link, which could lead to broader security breaches and reputational damage, as illustrated by past incidents involving WordPress sites.