That poem has a serious message. It inspired me to write, not a parody, but a limerick with a similar theme.

Being Light-Hearted Is Serious Hard Work
by NoStar

You'd write poems, 'cept you think it's too hard
To write meaningful poems like the Bard
When big thoughts are expressed
Smaller words work the best
Here's a secret: the bard was a card

In his serious poems, Will would pun
And looking for them's half the fun
At his serious best
He would still pause to jest
That made Willie the Shake number one