Yes, this Log value will show in the Event Description of the Step in the Test Execution Detail report.
For example this subprocess gets called from test case "main_all_should_fail" and it has an assertion in it:
There is a value of Log that is "User was not added".
If you then go the the Test Execution Detail is shows that message in the first part of the Event Description of that event:
So if you want a different value then you can change the Assertion to display want you want.