The search bar already has the concept of filters, which you can see in action when you click the 'list flows' button:
So yes, the raw method will be to add another filter to the available syntax.
But the question is how to help the user discover that syntax. A keyboard-shortcut makes sense, but still isn't discoverable. The UI will need some sort of option to help the user set the filters without having to type them all out - and the filters could potentially be more than just 'in this flow'.
It's on the backlog now, so we'll look at it in due course.