Well, saying that you were 'AugustBest' would be a nasty, pitiful and unforgivable pun.
It's using a word that sounds just like another, in place of it, to give a different meaning.
Actually, I think Jough is referring to the unbastardized Webster's 1913 definition puts a pun as a play on a word's homonym specifically. For instance:
"Why are Japanese legislators so skinny? Because they're members of the diet."
Diet meaning both prescribed rules for eating and a legislative body used in several countries such as Germany, Poland, and Japan. Get it? Skinny legislators?
If I am correct, the weaker definition of a pun as
any play on words and not just on words with multiple meanings has only recently gained acceptance. So when Jough insists we aren't making proper puns, he is correct in a way. In the same way that people who say the recent presidential election was a fraud and people who insist that we should never have come off the gold standard are correct. The fighting against impossible odds way of being correct.
Personally, I've given up on trying to hold back the floodgates of proper English. Stopped correcting
every occurance of 'The thing of it is is that...' Started speaking in broken clauses instead of sentences.