Don't expect too much happiness. The inputTextArea is just a wrapper for the HTML TEXTAREA control and I don't think you'll find that option in the HTML RFC.
One of the smarter (JavaScript-based)
JSF extension tags might be able to handle that, but I don't know.
The secret of how to be miserable is to constantly expect things are going to happen the way that they are "supposed" to happen.
You can have faith, which carries the understanding that you may be disappointed. Then there's being a willfully-blind idiot, which virtually guarantees it.