Integration tests verifying endpoint authorization and authentication

Consider the following integration test. Java is used just as an example.

  @Test
  @WithMockUser
  public void givenUnauthorized_whenGettingPeople_thenReturnStatus403() throws Exception {
    mvc.perform(get("/v1/api/people"))
        .andExpect(status().is(403))
        .andExpect(jsonPath("$.success").value(false))                     // 1
        .andExpect(jsonPath("$.message").value("Access is denied"));       // 2
  }

Do you think commented lines 1 and 2 are actually helping or not? I am wondering whether or not should I keep them.

And here is similiar test:

  @Test
  public void givenUnauthenticated_whenGettingPeople_thenReturnStatus401() throws Exception {
    mvc.perform(get("/v1/api/people"))
        .andExpect(status().is(401))
        .andExpect(status().reason(containsString("Full authentication is required to access this resource")));
  }

I start to think that verifying just the 401/403 statuses should be sufficient. Am I right?