Why not voice it? There's a sense of liberation in knowing there's no plan and that you can make your own.
Discussion
its fine to have the perspective, but it means nothing to the person who is being convinced, that the person arguing for said perspective doesn't believe what they're saying themselves.
There is no room to criticize anyone because it "doesn't matter"
Ofc people that disagree on the axioms will disagree on the logical outcome.
There is plenty of room for criticism even without objective morality.
Why is there room?
Because we are social beings who often reach broad consenus about what is right and wrong even if it's not entirely objective.