Better shown, I think, by
Oh! a private buffoon is a light-hearted loon and the preceding dialogue, back near the start of Act II.
https://gsarchive.net/yeomen/web_opera/yeomen_13d.html for the dialogue and
https://gsarchive.net/yeomen/web_opera/yeomen_14.html for the song. (PDF of the entire libretti, which I find much more convenient:
https://gsarchive.net/yeomen/yg_lib.pdf#page=28&zoom=auto,-1....)
The dialogue is useful context for the song in which the jester explains to a would-be jester the troubles of being paid to be funny.
Gilbert enjoyed a spot of paradox, some more patent than others. In The Pirates of Penzance a leap year forms a paradox (, a paradox, a most ingenious paradox) as the protagonist has lived for twenty-one years, yet reckoning by his natal day he is a little boy of five. As for Patience, it is subtitled “or, Bunthorne’s Bride”, yet ends with everyone except Bunthorne scheduled to be married.