First of all, let me say I may have misspoke a little said something in a way that is misunderstood. Yes, @JQL is correct, you cannot use the alternate line styles as edges. However, there are many ways that you can use the alternate line style and the text objects very effectively. You ask about how they look in LayOut - be aware that the 2D Tools is a SketchUp plugin but I will show you what the lines look like when you send the model to LayOut.
My most common use is the text as I can place it in my model and then orbit it without having to worry about where the text is going to show up. This first image is an example that I user very often (the lines were not drawn with TIG's 2D Tools, they are just normal lines). I find I have much better control over the this text tool as opposed to the 3D Text Tool in SketchUp (at least for they way I want the text to look in LayOut).
Here is a 2nd image that shows some of the line styles that can be used. Yes, I went in and added some lines just for showing what can be done. I even went into the model and edited an edge (corner of wall). I also changed the color of some of the lines to show that effect as well.
In the case of lines, you can draw with TIG's tool or you can draw with the normal line tool and then go edit the line style (which I did in most of these cases).
Hope this helps illustrate/explain what can be done.