Is they a way of obtaining a word count in LyX that does not include text inside captions (Figures, tables etc.)?
One way is to remove the insets for which you don't want the words to be counted. First backup your document. Then, to remove all of the caption insets try the following on the mini-buffer (alt+x):
command-sequence inset-forall Caption char-delete-forward; statistics; undo
What this does is the following
- Remove all Caption insets
- Word count
- Undo "Remove all Caption insets"
The simplest but most tiresome way (and as far as I know only way in LyX) would be to select step by step parts of the LyX document skipping the parts you do not want to count and use "Tools > Statistics" to note a word count. Finally, all word counts need to be added.
Alternatively, one can export the LyX document to a LaTeX file and apply all sorts of TeX related methods as shown in: Is there any way to do a correct word count of a LaTeX document? Especially, TeXcount offers ways to exclude captions and certain environments.