[alt text: a picture of a Bomb Pop popsicle, where each flavor segment has its own caption. On the top, red part of the popsicle, the caption says, "yum, this bomb pop tastes like cherries". On the middle, white part of the popsicle, the caption says, "wow this lime flavor is so refreshing". On the bottom, blue part of the popsicle, the caption says, "blue raspberry, my favorite!". On the bottom part of the popsicle, where the popsicle stick is sticking out, the caption says, "I am a beaver".]
Gotta get every last molecule of sugar out of that stick!
The cellulose from the wood is just sugar bound in weird ways; consume the stick as well for maximum efficency in sugar absorpsion.