Pinstripes aren't going to defeat all overtones, nor will proper tuning. Depending on the style of music being played, some overtones may be desirable. More often than not, overtones in the studio can be a bear to deal with. tape or studio rings is a quick viable fix.
A properly tuned drum is going to resonate and create overtones. A coated head would serve better than pinstripes. At least thats what 25 years of playing has taught me.
YMMV