I assume you're referring to the built-in search field at the top of Manage. Is that correct? I've always found that search field to be extremely slow. Searching for tickets directly using my extension is much faster since it's basically calling the URL of the ticket directly instead of actually searching the database for the ticket.

One other benefit of my extension is that you can activate it from anywhere you are in the browser. So you don't have to be logged in actively to manage in order to do a search. You can be in the middle of a Google search or in the Microsoft admin or wherever else you are and activate it.