we asked Chatgpt to conduct research
There's your first mistake.
Inertia has many well-known problems with SSR
No.
Inertia has a lot of problems with hydration mismatch
No. Unless you misconfigure it.
it is difficult to synchronize client props with server ones
???
it is difficult to set up ssr deployment of an application in Kubernetes
???
ChatGPT composes nonsense about any topic if you ask it to. Those bullet points are worthless because they don't explain anything.
Inertia is just a wire protocol between the Laravel backend and an SPA front end. You can set up SSR if you think it's worthwhile. Inertia isn't better or worse for SEO than any other app. SEO isn't a matter of tech stack, but of content and performance.
I'd always go with Inertia. It's less complicated than using Laravel as a backend API. You use server-side routing, get sessions and CSRF protection for free, etc. From an SEO perspective, there's no difference.