Just looked it up again and it's actually not Duck Hunt. It's Duck Season which is a parody and doesn't directly reference Duck Hunt but it has their version of the dog in it and everything. I actually thought it was the same people / same studio parodying itself but it's not. I haven't played it myself so I can't give an opinion from actually playing it, but I've watched other people play it and it is interesting.

You actually play a kid playing the game so you can be in the game shooting at ducks (which is different graphically than the NES game) or be in the living room depending on what you are doing in the game and the concept overall is a bit different. I'm not going to spoil too much about how it is different.

https://store.steampowered.com/app/503580/Duck_Season/