I think that is where this secular set goes wrong, it doesn't compel one to action, it just restricts what actions one can take.
Situation: You are walking down a commercial zoned area and notice a woman fall to the ground and break her leg. You are on the other side of the street from this woman and you quickly consider what to do, then walk into the store right next to you (one you were planning on visiting).
In this situation you have not hurt anyone and you have not been disrespectful. Since those together complete your system of ethics you have not been unethical. Even so, I would argue that you did not take the moral action. The moral action would be to call 911 and do everything you can for the woman until help arrives. It would be even better if you went with her to the hospital or followed up on her condition. Maybe you could contact her family. However, none of these things are required in the secular set of moral values that is currently laid out for examination.
Situation #2: You are a student walking down a hallway in high school and some kid about ten feet in front of you and on the other side of the hallway drops all his books and papers in the middle of a passing period. You quickly run through your secular morals to determine the moral action. You decide to walk past, being careful not to step on or kick any of his books or papers and not to think less of him for what you just saw happen.
In this situation you didn't hurt anyone, you weren't disrepectful (actually, you were respectful of his belongings) and you fulfilled your code of ethics. However, you did not end up at the most moral action, which would have been to stop and help him collect his belongings. The secular set of moral values is flawed.