Publishers Answer: Would You Reject a "Good" Game?

After my last post about not being a publisher, I got a surprising number of comments disagreeing with the statement that if a game is good, a publisher will be interested, and if no publisher is interested, then the game isn't very good. JR and I asked a ton of publishers (probably literally) and they answered! Below, in alphabetical order by the publishers' last names, are their responses to these questions:

"Are there any reasons that you might reject a game that you think is both 'good' and finished? What, if anything, would you tell the designer in your rejection?"

Editor's Note: We've left responses in their original format.