Best cartridge for very old worn vinyl

The best version of a late 50s to early 60s Argo LP I will ever hear was a week or two ago when we went to the Kennedy Center Concert Hall to hear Ahmad Jamal perform on or near to his 88th birthday.  He was phenomenal; indeed, he is a phenomenon of age-defying virtuosity.  He even played Poinsienna [sp?] in a completely novel way.

Jperry and Chakster have offered diametrically opposing opinions.  From what I have read over years, I think Chakster is more likely to be on the right track.  Those old LPs are most likely to have been worn out with spherical and/or early classic elliptical styli.  So statistically your best bet for getting more music out would be to use a stylus with a different shape that contacts the groove walls differently from a spherical or elliptical. Most modern styli fall into the categories of line contact or microridge, although there are a bewildering number of names for very slightly different shapes, like Shibata. There may be reasons to hunt specifically for one particular shape that would be particularly good at contacting unworn regions of the groove, and perhaps someone else knows.