Here's an example of a confusing sentence:
"The agitated cow killed the farmer with the axe."
As it stands, it's ambiguous. Did the cow use an axe to kill a farmer, or did the cow kill a farmer who happened to have an axe? Well, if it had just been written in a syntactic tree, there'd be no ambiguity. Ex:
Here, the farmer with the axe met his end by means of a cow. You can tell because "with the axe" is clearly an adjunct of "farmer." The other meaning, where a cow hacked the poor farmer to pieces, would be illustrated with the prepositional adjunct belonging to the verb phrase, "killed." Here you go:
For some reason, I put "enraged" instead of "agitated, but the point is the same.
So yeah, I think any important text (newspapers, novels, etc.) should now be published in syntax-tree-format to eliminate future confusion.