No. Static vs. dynamic is a concern regarding how HTML / CSS gets rendered by the backend. HTTPS certificates, embedding of 3rd party scripts, outdated HTML / JS / CSS,... are concerns that live entirely in the browser.
Whether you use a SSG or a CMS, you still need to do upkeep of all of those: make sure your certificates are up to date, make sure you have the latest embed script, make sure you keep your site isn't build on top of brittle API's and frontend frameworks, make sure your site keeps following changing SEO practices, etc.
On another note, if you use a CMS - e.g. WordPress - the availability of your site is directly tied to the operational availability of the CMS and the stack it depends on. So, that means upkeep and maintenance of the CMS become immediate concerns. If you use a SSG that only spits out HTML / CSS, that's far less of a concern: if your SSG breaks, the site doesn't break down.
Of course, YMMV in the age of hybrid solutions where a static layout and a popular JS framework is send to the client which fetches fragments via GraphQL API's from a backend, which implies a coupling between frontend and backend.
Whether you use a SSG or a CMS, you still need to do upkeep of all of those: make sure your certificates are up to date, make sure you have the latest embed script, make sure you keep your site isn't build on top of brittle API's and frontend frameworks, make sure your site keeps following changing SEO practices, etc.
On another note, if you use a CMS - e.g. WordPress - the availability of your site is directly tied to the operational availability of the CMS and the stack it depends on. So, that means upkeep and maintenance of the CMS become immediate concerns. If you use a SSG that only spits out HTML / CSS, that's far less of a concern: if your SSG breaks, the site doesn't break down.
Of course, YMMV in the age of hybrid solutions where a static layout and a popular JS framework is send to the client which fetches fragments via GraphQL API's from a backend, which implies a coupling between frontend and backend.