The echo area is the line at the bottom of Emacs below the mode line:
~ ~
| |
+-----------------------+
|-U:--- mode-line |
+-----------------------+
| M-x echo-area |
+-----------------------+
Now the mode line is highly customizable while the echo area is more rigid (and unused a lot of the time). The question is pretty simple: is it possible to hide the echo area during inactivity and redisplay it once it needs your attention:
~ ~ ~ ~
| | | |
| | +-----------------------+
| | |-U:--- mode-line |
+-----------------------+ +-----------------------+
|-U:--- mode-line | | M-x echo-area |
+-----------------------+ +-----------------------+
Inactive Active
This is similar to the way Google Chrome displays URLs when you hover your mose over a link and the Firefox addon Pentadactyl where the command-line is hidden by default.
As far as I know it's not possible to hide the echo area, and I would not agree with you that it is unused a lot of time. From buffer switching over M-x commands to minibuffer output, a lot of different stuff goes on in the echo area.
I can understand that on small displays, e.g., on netbooks etc. it is desirable to save screen estate. But I would argue that the echo area is used much more when you edit a file than the address bar of a web browser is used when you look at a web page. It's an integral part of Emacs.