Since everyone is invited to the table, all ideas are discussed, but not all ideas are taken seriously. So if there is a good idea presented, and everyone agrees it is a good idea in reference to the goal, then yes it will be implemented. Good ideas are fine to be adopted where ever they come from. But no idea is inherently good just because it comes from bob, jane, or a deity. We have to understand why it is a good idea and then review the outcome of that good idea with real world data when we implement it to see if the suggested strategy was successful and is to continue being implemented. However, we will throw out bad ideas regardless of how culturally important they are. So sorry, no genital mutilation to children, no child brides, no treating women, children, and minorities as property, no lying about the science of birth control, etc.
Secular moral system is just two things: everyone is invited to the table to discuss how to live the good life and internally referenced: the goal, strategies, and enforcement are all internally agreed upon by the participating people. We have to agree on a reference point of what the good life is. The most common overlapping reference point that we are aware of is, Human Well-Being since this is what we all experience regardless of the individual or the group or culture or time period. If you have a better reference point, then bring it to the table to discuss it. So it is globally since the reference point is the good for humanity. We can discuss the idea of expanding that goal to the good for all sentient creatures, but we haven’t agreed on that point of reference.