Some time ago now, some Users reported issues with High CPU usage caused by the SearchUI.exe process, however, Microsoft through various tweaks and testing within the Windows 10 Insider program, plus certain computer manufacturers stepping up and sorting things out on their end has pretty much resolved this issue now.
If you are not experiencing any negative issues from this process, I'd personally recommend leaving it alone.
Some of the known side affects of messing with Cortana or the SearchUI.exe process far outweigh any benefit of preventing it running:
- Unstable access to Start Menu with an flow on affect to accessing installed apps
- Unstable access to the Run and Search dialogs, making life a little more complicated, although Win + R remained stable
- Issues with User Accounts becoming disabled to the point you could not download updates without manually repairing Cortana settings, with the flow on affect of creating Security issues if you miss an important update
Some months ago now, Microsoft separated the Start Menu from some other processes to make it more efficient to isolate issues and resolve them quickly should anything arise. However, messing around with Windows 10 components might result in creating an unstable OS with not quick fix, other than to reinstall the OS.
Each to their own on what they choose to do with Cortana or the SearchUI.exe process, but that old saying, ' If it ain't broke don't fix it ' seems to me quite apt in this particular case.
Regedit32