Right now when you search for a process in the UI the display seems to be static - stats dont update and processes dont appear/disappear if they start/stop while search text is entered.
A live view while searching would be great - Just like Process Hacker. Or live view default but with a 'freeze' button.
This will likely come in time with larger work to the GUI. As you suggest, a pause button will be necessary to smoothly facilitate it.