Interesting question. I've just flipped through the manuals for the lenses I have and with the exception of my favourite Nikkor 24-70mm f/2.8 they all quote a constant minimum focus distance throughout the focal length range. With the 24-70 there is a variation of between 0.38 and 0.41m depending on the focal length selected - the shorter distance being in the middle of the range.
Interesting .....
It's worth noting though that most lens markings are less than accurate, sometimes a long way out, and they're measured from the focal plane/sensor, whereas all depth of field calcs are measured from the front of the lens (makes a small difference when you're close).