In handguns, many of them were/are designed to function with FMJ (Full Metal Jacket) ammo, which, in these modern times is ogive pointed (as opposed to RNL--round nose lead).
A JHP, jacketed Hollow point, truncates that bullet profile, which can cause feeding issues. So, some manufacturers put a lightweight cap in the hole to keep the profile matching FMJ.
That's fallen out of favor of late--and most handguns will feed HP ammo without a hiccup.
Winchester's original marketing for their handgun ammo was that they were shaped as much like FMJ as possible for best feeding. They just tinned/treated the gilding metal jacket to make it unique in appearance. Win still makes loaded STHP handgun ammo.
The Silvertip rifle ammo was just a version of JSP, Jacketed Soft Point, where the marketing claim was that the tip improved expansion while keeping aerodynamics, and would feed like an FMJ.
Ballistic tip ammo is usually rifle ammo aimed at the varmint shooting crowd. The polymer tip replicates FMJ for feeding and aerodynamics, and (might) aid expansion. (How much expansion you really need on a prairie dog is a different argument for a different forum.)
This gets a tad deeper, too, as the range of handloading components is different than the range of loaded ammo.