I think what is likely to occur when you chop down a tree is that it will drop logs where weak branches are, you can collect leaves and seeds and saplings as well, along with the fruits. As for the main stem of the tree, it will turn into a construction according to the vertical profile in the direction it falls, and would need to be deconstructed to collect the logs from it. After all, a sufficiently large enough tree would be hard to get over, even when collapsed, and should register as a wall due to it's girth. Especially if climbing will be considered as a mechanic in the game update.
EDIT:
This gets me thinking, if such a mechanic can be applied to trees, then would a fix for the drawbridges make them no longer quantum-compact when retracted vertically (a 10-long compacting into 1-Z height; if applied, when retracted, will become a 10-Z tall wall.)? Hmm... That will add much more challenge to future constructions, as well as a few tweaks to construction methods (can anyone say quick forge/casting mold?), if such a fix is in place while improving the new tree dynamics.
Just as well, could (stone) pillars, especially as a single cohesive carved out block, rather than constructions, (since constructions are made 1-Z at a time (Makes quarrying more interesting)) then collapse in a similar format, as if you were knocking down a Greco-Roman pillar construction or a rock-wall quarry? Basically, it would work like the trees, natural carved out stone would follow tree dynamics, whereas a multi-tiered constructed pillar would deconstruct into it's base materials and falling damage will still count, like the tree branches would behave, but the layout will still follow profile since it toppled over, except as it's base components (blocks and boulders, whereas solid wall will still be solid wall).
Counting falling damage from objects, and so on, as well as my proposed game mechanic, can anyone say the Leaning Tower of Pisa can now be weaponized?
What do you think about this idea? A bit overkill, or sufficiently dwarfy?
For fun with this, obsidian-cast a solid block, and stem to hold it,
and have yourself a giant obsidian mallet to crush your enemies like a colossal Whack-a-Mole game. Producing the cast mold should be much simpler to make using tall drawbridges, if the rest of my post is also implemented.