"We're finally getting this over with, huh?"

That would be the thought in my head while launching MI3a.  Acknowledging the ending of MI2 would detract from the enjoyment of playing a new game.

I like how in the The Legend of Zelda series the characters are new incarnations of themselves.  That is the direction CMI and EMI should have taken.

Instead it was like that kid you tell a joke to, and he tells it to all his friends.  You have to hear him repeat your joke and steal all the laughs.  Now his friends are telling the joke, and everybody has heard the joke several times and nobody remembers why it's funny anymore.

The Monkey Island universe is well-suited for telling new stories, and while I haven't played Tales of Monkey Island, it seems they went in that direction.  That was a really smart name for their series.