What are you looking for on the behavior of this?
The problem with the deconstruction and upgrade planners is that they are always linked to a specific item in your inventory. So, the only way to share it between the player and the avatar would be to make a copy of it and give the copy to the avatar (assuming that it has space in it's inventory).
The other problem with the quick bar is that mod developers don't have exact access to the item. The API for it just provides an item prototype, so it is equivalent to "a deconstruction planner", not "THIS deconstruction planner". So, if the player had 1 on the bar and multiple in their inventory I wouldn't know which is on the bar, and so would have to copy ALL of them to the avatar.
This is all achievable, I'm just not sure if it really is worth it, as it could waste a lot of inventory space on the avatar.