There are several different forms of wire patched bullets. They were made in just about every caliber in use at the time.
The original idea behind them was that those new-fangled metal cased bullets of the early 1900s would wear out the soft steel barrels. Or so they said.
The one Guy shows consists of an undersize lead bullet wrapped with a special waxed, cotton covered copper wire (bell wire). It was machine wound. The base was either covered with a copper gas check, or left exposed.
The one I showed was made by making a coil of copper wire and inserting it in the mould just before casting the bullet. This prevented the wire from parting company with the bullet when fired.
Others may use silver wire or even steel wire with a tin coating.
The Herters Sonic Wasp Waist bullets date to the 1950s and 1960s. They were a marketing ploy of Herters. You have to know the history of Herters to fully appreciate them. The boat tailed version was called the Wasp-Waist Sonic Missle-Tail. Herters had a way with words. Unsurpassed, perfect, guaranteed, absolutely, finest, increased, authentic, were some of their more modest descriptives.
Both the regular Wasp Waist and the Missle Tail Wasp Waist bullets were terribly inaccurate. But that didn’t stop us starry eyed shooters from buying them. Many a shooter of my era grew up with a Herters catalog under their mattress. I still have 4 or 5 of them. Don’t tell my wife.