Not so much. If the universe truly is meaningless and random, then indeed we cannot change that, and we’d have to accept it.
Rather, my point is, if anybody believes that the universe is random and meaningless, but yet they are still going through their daily life as if it is not random, and is meaningful, then this is precisely a rejection of what is real. One would have to bite the bullet and reject all commitments to value and meaning (eg as per Nietzsche).
So, if a person cares about being consistent, then they either need to reject the meaninglessness of the universe, or they need to reject the meaningFULness of their own actions and projects. Take your pick. Why not treat the meaningfulness of one’s life as evidence that the universe is not meaningless?
If somebody says that they truly don’t care about being consistent, well, that’s up to them..... but I’ll bet that they expect others to act consistently on matters that pertain to their own projects and actions!
You said earlier that you think either choice would be random, but I’m willing to bet you don’t live your life as if it’s all random (eg I notice that when you reply to me, you use sentences intended to convey meaning, rather than random bashings on the keyboard)!