Your comments

Yes, I meant don't press Ctrl+F to get to the search field. When you start typing you get there automatically.

In general I see your point. But on the other hand, current behavior allows me to correct the search term without typing it all over again.
Let's see how the vote goes. If it is popular with the users I'll do it, this is actually quite easy.
Have you tried just starting typing the new word, without pressing Ctrl+F?
Completed in version 1.2