Why is this important? Why does anyone even care about trying to draw lines in the sand when it comes to objectivity or subjectivity?
I don't know any religious scripture that dictates morality on every single moral issue that comes across humanity, and although I've asked others to demonstrate how it would, no one's ever accomplished this.
As such, this tells me that there really isn't an objective moral standard for the modern human being to follow, or if there are objective morals, they're only objective to an extent, covering some issues, but not others, leaving them open to interpretation and rationalization.
For this reason, I find it somewhat paradoxical to question someone else's morals on the grounds that they're "subjective". Those without religion or philosophy to follow don't have purely objective morals. But then again, so do theists and students of philosophy.
Also, from a functional standard, do either of these things matter? Does whether a person follow an objective or subjective morality affect them as human beings?