Glance search string is not synced with "normal" search

[Lucas-Malor]

Steps to reproduce:

1. open normal search
2. search for "hello"
3. open Glance search bar. Notice that there's not an "hello" string in search field
4. search for "there"
5. close Glance bar
6. open normal search

Current result:
normal search field contains "hello"

Expected result:
normal search field should contain "there". Furthermore at step 3 Glance field should contain "hello".

This is extremely useful if you want to search, type something and search again without getting focus to Glance bar again (I assigned ctrl+g and ctrl+shift+g as Find Next / Previous for both Glance and normal search).