Follow-up to https://github.com/zed-industries/zed/pull/62506

Before:


https://github.com/user-attachments/assets/19f6f0df-c5e3-417e-a351-13a09ccb726b

After:


https://github.com/user-attachments/assets/0b302ed7-a98d-4db4-81bc-d67f5cc7db87


* Fixes type on search not selecting the very first result as the
regular search does.
* Unifies the flicker freezing state better in the editor

Release Notes:

- N/A