Nope.
It's true that gallows coverage is most often seen in line-initial vords, but:
1) It's not always that the gallows exhibiting coverage is the first character of the vord. See e.g. f30r, 2nd paragraph.
2) There are cases when the initial gallows is drawn in such a way so as to manifest the absence of the coverage. See e.g. f32r, 2nd paragraph with an unnaturally narrow loop of f in fcho.
3) There are cases where gallows coverage is exhibited in non-line initial vords. Loops covering one character can be found quite frequently, but there are also loops covering many characters. See e.g. f87r, line 1.
4) The gallows coverage is also found in labels, at least for t. See f68r1.
It's true that gallows coverage is most often seen in line-initial vords, but:
1) It's not always that the gallows exhibiting coverage is the first character of the vord. See e.g. f30r, 2nd paragraph.
2) There are cases when the initial gallows is drawn in such a way so as to manifest the absence of the coverage. See e.g. f32r, 2nd paragraph with an unnaturally narrow loop of f in fcho.
3) There are cases where gallows coverage is exhibited in non-line initial vords. Loops covering one character can be found quite frequently, but there are also loops covering many characters. See e.g. f87r, line 1.
4) The gallows coverage is also found in labels, at least for t. See f68r1.