Next.js puts you squarely back in monolith server-side territory in that regard, it's just a different flavor. Of course it has it's upsides if you're doing a purely React application. But you've now got all the complexity of a server-side monolith and a frontend framework, with the added bonus complexity of components that have to switch between client and server-side contexts, then state management and hydration across that boundary as well.
Now people are going to say "Ha, idiot, you just simply..." but that's just part of the learning, so you're in no better place with Next.js/SSR in general unless you want to build an interactive application. This isn't against Next.js by the way, I did enjoy it when I needed it, it's just that there's no avoiding some of the inherent domain problems regardless of which framework you pick.