As someone who creates a lot of diagrams, I disagree. Most diagramming tools require me to spend 80% of my effort on layout issues to make diagrams look good. I would much rather have a mini language in which I can express my diagram than fumble around with pixels.
Doing things in text also keeps the diagrams Wiki friendly, which might be a consideration (it sure is for me), allows easy auto-generation, and so on.
I've been looking for a good tool in this area. Groff has PIC, which was created by Kernighan and sort of does this (this is what W. Richard Stevens used in his books, for example), but I want pretty colors and gradients and rainbows. I'd love to hear suggestions for tools in this area.
I am thinking about writing my own tool, maybe in JavaScript to use a familiar syntax and allow a sort of eval loop on the browser.
If you are modeling in text (which is a good thing) why not use something like alloy (http://alloy.mit.edu/) which is far more expressive and can be analyzed and checked automatically.
While I haven't really used this particular service, I disagree with your general premise.
I love graphviz, for example. Graphviz is actually quite awesome. I can draw dependency graphs, or any other kind of graph, without touching the mouse. I don't have to care about the layout, and I don't want to, since I'm no designer. Actually I'm quite bad at layouting stuff - and the algorithm gets it right most of the time.
I can quickly change things, insert or delete an element, without having to worry about re-layouting everything myself. So, cut a long story short: doing visual tasks text-based is not a bad thing per se.
Again, I haven't really given this thing a try for long enough, but right now, the text-based interface seems OK for me. But maybe that's just me, being a very text-driven person.
http://www.gliffy.com
http://www.lovelycharts.com
*i'm not affiliated with them in any way.