False. Come on, man. You've around here long enough to know what falsifiable means. A stance, e.g., objective morality exists, is falsifiable if it makes predictions that could prove the stance false if they failed to occur.
@ottawak's statement is that (I hope I represent you here correctly) there is nothing that could occur in reality that would require one to give up the position "objective morality exists."
If this is true, I speak for myself here, then the position itself is of no consequence, no meaning.
If something is falsifiable, we can, at least in principle, determine whether it is true. (The stance makes a prediction that
could turn out to be false.) If "objective morality exists" is UNfalsifiable, then we can't,
even in principle, determine that it is true.