The Doc's photos illustrate my point above well. The thicker strings gave a longer 'non-vibrating' length, so the saddles step back nicely according to string type and size.
(Obviously the 'non vibrating' string section isn't all non-vibrating and increase from zero at the fulcrum to a value at some point along the string where it can said to be fully vibrating, but it's easier to imagine if you just say 'non-vibrating').