That's a stretch. That sketch is about one-upmanship as to who suffered more. (Which is also toxic behavior when taken out of comedic contexts. I know people who do this unironically and it's not healthy.)

Agree with the parent, it's great to develop a richer context on top of the OP and have everyone benefit as a result, but there's no need to put one down in order to raise another. They're both cool and interesting.

Seems an entirely unconnected bit?