Yes if left on it's own not around something to dry completely to give it a final shape it will shrink into a very small unserviceable tube.A person would need to rehydrate it and let it dry around a larger circumference shape.
If a round form is not used it will warp also.Example.
Tube shown at beginning of post same as left shown tube is actually from 1 half of a trees' circumference.
Hickory here will have a very thick cambium layer compared to most other trees.Close to 1/8" thick.Revealed when it is popped off as the sap is flowing and the bark removed as shown on tube on right.