Search bar is not updated when switching tab

When we search for a word that isn't present searchbar makes text read. If we switch to a tab where that text is present text remains red and doesn't highlight the match. I need to change the text in searchbar to make it works.

We should decide on how Scratch's supposed to work, but even though I find it useful to be conserve the search text between different tabs, this feels very wrong and even a each-tab-has-it-text behavior would be better.