If you're having melt loss like that, then the purity must go up because copper is being removed from the alloy.
Bear in mind that silver is also considerably more volatile than gold or platinum and has a vapor pressure, but that will not account for 15% melt loss unless the material was quite dirty.
Clean sterling like element47 was melting should not have more than a percent (at the tops) of melt loss.
Half of the issue is that people who complain about the melt losses have never melted sterling.
If you have, you've noticed the skin that forms on it when melted in atmosphere. This skin is copper oxide.
It should not be skimmed because some of the silver will go with it. It should be entrained in slag and removed that way instead.