You are a Chef! is solidly within the "look, I have written a really bad game!" school of comedy. We can see this from the very first line: "HELLO CHEF!!!!!1". The string of exclamation marks ends with a '1' because the fictional 'n00b' author put his finger off of the Shift-key a little too early.
The main problem with this approach to comedy is that an intentionally bad game is still a bad game. To take badness and elevate it to another level is possible, but very hard; and I doubt that taking a straightforward approach to it is the way to go. See Mystery Science Theater 3000 Presents "Detective" for a non-straightforward, and much more successful, example. There, a separate "commentary" track is used to make fun of the source material. In You are a Chef!, we are just playing the very bad game.
Nor is the sheer absurdity of the events enough to make the player chuckle. Absurdity is only funny if there is some method behind it. Random objects falling from the sky simply do not qualify as a good joke.
Perhaps the dreariness of the game is best demonstrated by this exchange:
Iron safe falls from the sky!
It lands on top of clown and breaks open!
>x safe
In the iron safe you see a MYSTERY INGREDIENT.
>take ingredient
Taken.
>x it
I cannot tell you! It is a mystery!!
If you thought that was funny, please play this game.