In "the old days", film and/or backing paper were thicker than now. So the roll would be thicker and hence move film a bit further if the automatic film advance is determined via turns of the roll. If the spacing is too tight on your camera, there is an easy trick to compensate to a certain degree: When you open a new roll, it's held together by a paper strip around the roll. Open it cautiously and leave this strip attached to the backing paper. Insert the paper strip into the take-up spool and wind. The beginnig of the backing paper will follow. Wind, until it's firmly engaged. Your spool core is now a little bit thicker than usual. This might solve your problem, just have a try. You can also attach 10 cm of backing paper to the start of your roll instead.