What happens in the double slit experiment if the screen is far away?

I’ve started reading a book on Quantum mechanics and started thinking what would happen if we did the double slit experiment with electrons but we moved the screen far far away. My newborn thought is that at if we have a detector at the slits the electron’s wave function will collapse into having passed through one of the slits. But when the wave function has collapsed it will start to obey the Schrödinger equation again and smear out again.

Now to my question, is this a correct view: in the ordinary double slit experiment we see the particle pattern (two strips on the screen) because the wave functions of the electrons haven’t had the time to smear out yet. So if we move the screen far away we would see the electrons start to form interference patterns again because their wave functions has had the time to smear out?