Yes. Every Christian believes that their God is the image of righteousness. But what I'm saying is that everyone has their own image of morality even if it rejects the belief in God. Not everyone is completely rational because we're not robots or machines. Just like we believe in logical thinking, there is a certain conception that we submit ourselves to since we are only human beings. Absolute and objective morality are very similar because in both, each party assesses candor to what they believe to be true based on their own personal perspective. It's just that one appoints a supreme deity and the other doesn't.
You say that you aren't trying to find any moral standard yet you say, "That means that good and bad are assessed against the consequences for the well-being of conscious creatures. So there are real moral truths.", which means that you feel you have found an ideal moral truth in your eyes. There is hardly a difference in that and absolute morality.