The shutter has to travel vertically while the camera is panned horizontally to get the effect. It's pretty obvious that the bottom of the image was exposed first, and the top last. It doesn't matter what shutter speed you set within reason, the amount of leaning is governed by the panning speed and the speed of travel of the blinds, which is constant, not by the slit width. You could probably get the same effect with an old rangefinder Contax, or a russian copy, especially if the shutter was in the state that they usually turn up in.
Lartigue was given his first camera at the age of six, so he already had 4 years experience under his belt by the time this shot was taken.
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