It will be nice to have the option to set generic assertion for all the API request in the project , or to select some of the APEs should have the same assertion . meaning of generic assert...
Maybe it would be better if we can add assertions on the Project dashboard,
Go to Project Dashboard, Browse project, select your API, select a request, run it, add assertions.
Now whenever you pick this REST request to be added to testcase, it already has the assertions you put on it.