Using automated harvesting with an axe, the pod will never stop harvesting and re-growing trees even if all output slots are filled.
Only way to stop it (ifaik) is to remove the axes.

Suggestion: Would also be great if the pods could be turned off by a redstone signal.

Minor Multiplayer info: If one person remove an axe, the growing animation will still be visible for a 2. person around as long as the 2. person does not look into the pod's inventory. After that the animation stops

Thanks for the reports. I will look into those for the next release.