Most of the time I hear S N E S (each letter pronounced individually) or Super Nintendo.
I have heard “the Snes” (pronounced with an S sound instead of a Z), but I didn’t hear that commonly until much later, after it was considered a retro console.
Looked up a video of the gameplay last night, and it looks pretty cool. I wonder if it feels as good as it looks. Apparently this is a company that previously only made mobile games.