It appears that the "Locate" command in Tasks doesn't support switching the mode to "Layer Search", and as far as I can tell there is no other command for it. (Search by Attributes is close, of course)
It would be great to be able to use that mode, and allow the Task to store a search configuration.
For example in a task regarding Feature A, you could start by searching A.Name with "match any part", then allow the user to browse and select results using Layer Search's richer UI.
This would help using Tasks to create workflows for end-users to ease them into the Locate tool for features that aren't easily addressable.