The Difference in Photo Finishes.
The difference in a photo finish is like the difference from place to place. Each is unique and has its own style. None are wrong--only different. Each one has a "better" way of display or purpose but each has a place in the art of photography.
A matte photograph's anti-reflective qualities often makes it a better choice for framing large prints, while the enhanced color may help snapshots stand out more with a glossy finish. However with a Lustre finish, you get the properties of both a matte and glossy on heavier paper.
That leaves the Metallic finish. This is a very RICH distinctive finish with a big WOW factor.