See, man (questiononthemajority), I am totally with you on this.
Jake, recurring characters have little to do with continuity.
I'd love to see the day that each Sam & Max episode released is its own story, with a majority of its own characters and locations, although I do realize it's not the easiest thing to deliver each month.
UNLESS
You had some sort of a form with IK implemented in, where you could just adjust the features of a character, specifically human creatures, though I could see animals being implemented within the frame, but that doesn't really help out with the animation, of which, I'm sure, is still plenty to be done each month.
I wanna make a Sam & Max feature film. Someone fetch me Purcell