The concept of WYSIWYM, which you casually tossed around, is really hard to grasp at a glance, which is mildly frustrating.

(I did not downvote nor think there's reason enough for it. Just speculating)

I took a look at the LyX web page, and it really didn't shed much light on the issue. "writing based on the structure of your document" added zero information to me. The screenshots look like a weird middle ground between WYSIWYG and TeX.

My key issue with Lyx has been that the document interface is not in fully human format. References and tags show up as fields visible to the user. To create a cross-reference, user must insert tags at the target location first (Microsoft Word keeps track of headings, captions, etc. by itself for cross-referencing). Also, hyperlinks are not clickable (the last time I checked).

Edit: I did not downvote, and cannot explain why you got them.