To quote from Abourachid et al. (2019)'s work on nestling hoatzins...
"In a more complex environment with branches, hoatzin nestlings used a quadrupedal walking coordination, but due to the irregularity of the substrate, the coordination was far less regular than on our experimental substrate. The head was also used as a hook: It was flexed so that the base of the beak was positioned on the branch, the neck appearing to pull the body upward and helping the wings. The claws on the fingers were actively moved independent of the movements of the rest of the hand skeleton."
This behavior of juvenile hoatzins is completely incompatible with _Microraptor_.
In short, Abourachid et al. (2019) demonstrated that in a three-dimensional environment like tree branches, juvenile hoatzins use the beak for climbing, not just the four limbs (including the grasping, arboreal-adapted feet). The head and neck play a major role in pulling the juvenile hoatzin upward through branches. Strict quadrupedal climbing (four limbs only) by juvenile hoatzins was only observed by Abourachid et al. when climbing on inclined surfaces, not branches (where the head/neck acted as a 'fifth' limb). This is the part of Abourachid et al.'s study that people forget to mention when they claim the juvenile hoatzin is an analog for "arboreality" in _Microraptor_.
Plus, I'll note these important observations from Grosmougin et al. (2025):
"...the highly recurved and relatively slender claws of _Microraptor_ do not match the rather broad and less recurved claw of juvenile hoatzin birds. This suggests that the claws of _Microraptor_ are potentially a characteristic
more of their dromaeosaurid heritage rather than an arboreality adaptation."
and
"Also, a range of motion study would give insight into the forearm positions available to _Microraptor_, helping to distinguish whether climbing motions or hanging postures were possible, while keeping in mind the potential movement restrictions necessary to limit damage to the long feathers of the forewing and hindwing."
The above is something that hoatzin chicks don't need to worry about, because they can't yet fly.