1964 Kennedy Half Dollars

Curious - how does your question here relate to the title headline?
However, here is what I found on the different finishes.
A proof coin is a special type of coin that is struck using a unique minting process to create a high-quality, highly detailed, and mirror-like finish

A matte finish coin has a non-reflective, satin-like appearance on its surface. Unlike the traditional shiny and reflective surfaces of most coins, a matte finish coin has a smooth and subdued look, which gives it a unique and distinct appearance.

The matte finish is achieved through a different minting process than the standard brilliant uncirculated (BU) finish. During the minting process for matte finish coins, the dies and planchets (blanks) are treated differently to create a less glossy and reflective surface.

Satin-finish coins have a smooth, non-reflective surface that falls between a proof and a matte finish.
Coins with a satin finish are often characterized with a smooth, even lustrous sheen that is less reflective than a proof coin.

The process of creating a satin finish involves sandblasting the coin's surface with tiny particles to create a fine, uniform texture. This texture gives the coin a soft, muted appearance and reduces the reflective properties of the metal. Unlike proof coins, which have a mirror-like shine, or brilliant uncirculated coins, which have a standard, glossy finish, satin finish coins have a more subdued and elegant look.

Welcome to CCF. Dearborn gave a very good explanation.

A very good explanation by Dearborn.