I would be glad if games helped me discover awesome humour websites. That's the nice thing about being a part of a good game-art community.
There is the forum for that.
Oh, on this point... only a minority of people in any game bother to participate in the forums. However, a majority of them are in social media and can benefit are being made humor-aware. It's selection effect to conclude that the forums alone are sufficient destination for the userbase.
Besides, the point passes quickly. I'd reckon the longer it takes between the average punchline and further reading, the less likely people are going to remember. The effort required to come onto these forums is more than googling it directly, which is in turn more than offering "if you enjoyed that one, have a look at this place".
I'm more strictly talking about increasing user-enjoyment on a level apart from the game itself. All hobbies can be more than themselves, it would be nice if they are.