Doubt on Ron's Lecture. Termites do significantly more

[boboteatea]

Termites do significantly more damage to homes than branches from trees.
This sentence is wrong without doubt.

We can fix it like this:
Termites do significantly more damage to homes than do branches from trees.

However, we cannot do this:
Termites do significantly more damage to homes than branches from trees do.
, because it is pretty awkward because "branches" is separated from the helping verb "do"

And my question is:
What if I want to say: Those branches do more damage to homes, than those termites do? (although the sentence is weird, I just want to figure out the rule.)

should I say:
Termites do significantly more damage to homes than branches from trees do ？
If so, what about two separated words-- branches and do???

[tim]

do not post the same question in multiple forums. i have answered this question elsewhere, so please refer to that answer..