You made a witty relation with a word or phrase. It would have been funny if you didn’t have to climb upon your high horse and tell us “By the way, what I just said was an intelligent pun. There may or may not have been intent, considering my immense intellect didn’t have time to give inflection on the pun in question.” I think what pisses me off the most is when people say “No pun intended” and then smirk as if there could have been a pun at play, but they decided to blow their whistle and let their captive audience know, instead, there was no fun intended.
The reasons puns are so much fun is the intended response. We aim to please those who don’t solely rely on fart jokes, and yet take pleasure from deducing double-entendres from our word-play. The moment someone says “no pun intended” it takes out all of the fun. Even ironically, the phrase is lackadaisical and short-sighted. Do me a favor and take 2 seconds to deviate from this popular meme. The moment your audience gets the pun and you didn’t say “HURR, NO PUN INTENDED”, the reaction you get will be stronger and more sincere.