High contrast is more about colour choices than anything else. It is harder to get a good result with waterbased ink printing light on dark, but that's not a factor here.
It can. Plastisol can be made to have a variety of different appearances - moreso than waterbased. Sometimes it can look quite shiny. For example if you want it to look that way, you can add a gloss agent to the ink, print it thicker than usual, or hit it with a heat press afterward.
That example actually seems at odds to your description. It's relatively low contrast (all things considered), and it's definitely matte looking rather than shiny. It actually looks like typical waterbased printing.