No, the image will be the same except it will get double the amount of light, assuming width of the slit are the same as the single one.
The quanum double-slit experiment resulting in multiple bands require wave from photons in slot1 interfering with the same from slot2. In focal plain shutter situation, the shutter is so close to the film plane that this interference of two waves will not take place.
Thus the image is the same.
OK, good point, so for the sake of this experiment lets put the curtain further from the focal plane.