Nov 18 2017
Not surprisingly, this has been brought up several times. On the talk page of LST:
For <ref>, the similar problem was resolved in T8312
Being able to transclude <section> tags would dramatically upgrade the functionality of LST! It just seems nobody has had the time to look into it.
Nov 1 2017
I requested the missing section tag transclusion feature at https://phabricator.wikimedia.org/T179482