The 'objective' value of purpose is more often found in the macro. First the need religion or Judeo-Christian values, just a belief in God or, as is more popular today, in “spirituality” to imbue existence with meaning. Yes, there is some absurdity in believing in the God made known through texts whose authenticity one rejects. “I believe in the God made known to the world solely through the Old Testament but not in the Old Testament” is not logically compelling.
Whatever the logical inconsistencies or theoretical arguments in either direction, that you may see as rendering all beliefs as subjective, the fact remains that while secular individuals can believe that their own lives have meaning, secularism by definition denies that life has meaning. The clear 'objective' consequences have been devastating to society, lets see, increased unhappiness and depression, increased reliance on drugs and numbing entertainment to get people through life, moral confusion, belief in nonsense (such as Marxism, fascism, communism, male-female sameness, pacifism, moral equivalence of good and bad societies, and much more), and perhaps the worst deriving meaning from 'statism' as a substitute for religious meaning I see that in these forums all the time.
That the objective fact the need for meaning transcends all other human needs, its absence must create havoc individually and societally. In government, secularism is a blessing; bust as said over and over most everywhere else it is not.