Why can humour be dry but not wet?
Solution 1:
In this case, dry is not the opposite of wet, but it means bare, and lacking adornment, such as a dry report.
Etymonline, the online etymology dictionary, indicates the word has been used to describe comedy for more than 500 years!
dry O.E. dryge, from P.Gmc. *draugiz, from PIE *dreug-. Meaning "barren" is mid-14c. Of humor or jests, early 15c. (implied in dryly); as "uninteresting, tedious" from 1620s.
As for antonyms, instead of a dry lecture, you might sit through a lively one. When applied to jokes, a joke might be farcical, or whimsical; a comedy routine might be laced with slapstick. One website I found listed 20 distinct forms of humor; others in that list which seem "opposite" of dry include hyperbolic, sophomoric, screwball, but probably not mordant.
Solution 2:
While it is true that dry is often used to describe a type of understated humour, and the person who tells a joke usually delivers the punchline in a flat deadpan voice. It is false that its most obvious antonym wet is never associated with humour. You can in fact wet yourself laughing, which implies that a person laughs so heartily that he or she temporarily loses control of their bladder. Another typical slang expression is piss yourself laughing
A plausible antonym to dry humour could be vaudeville, as in
His joke definitely wasn't dry, it was pure vaudeville!
Although I still prefer J.R's slapstick solution, which typifies the physical humour/comedy genre.