The reason why article titles and search terms aren’t included in the spell checker is because Firefox only enables the spell checking on textarea fields, not text input fields. Lucky there’s a quick fix for this.
To change this setting, just type about:config into the Firefox address bar, and then filter by this:
Just double-click on the item in the list and change the value to 2, as shown. No restart needed.
No more typos in search terms!