Listen it is not bland nor jerky
I give it a 10/10. It may not be perfectly animated... It may not be top notch.
Neither is south park american dad or the simpsons or futurama.
This has an exceptional quality. It Is genuine humor noir.
It makes you laugh and feel awkward at the same time in a subtle way.
The song itself has lyrics with strong and distinct language but because of that the characters express profound honesty about themselves. Without restrains.
In this way all their guards are down and it would be easy to ridicule them some more but that wouldn't add anything the misery they are already in.
Leaving the watcher with a laugh and an awkward feeling.
Speed in editing or fast past animation is something people are getting used to more and more but slower cutting gives room for expectation, anticipation.
Those are important feelings for tension building.
I for one was wondering what the next part in the song was going to be about.
The only thing i can say is keep at it!!!
Try to look for improvement in timing but not in making it faster just try and get the absolute spot on timing for the tension you build.
Another thing that might work is cutscenes to the faces of the others when one character is singing and revealing the bad stuff that is happening in his life!
Good job! Nice!