Sure they do. I’ve used it multiple times for new (but small) projects in the last year. It’s straightforward with Vite and works fine.
I’ve also used Next for new projects in the last year - it just depends on the infra requirements.
Vercel’s position in the ecosystem is one we should question. Maybe it’s not good for innovation to use Next for every new project. The recent controversy with their CEO isn’t helping the situation either.