If you had a machine that created a window through which you could see the future, and in the future you wrote down the winning lottery numbers and relayed that information to your present self before that lottery number was drawn.
However, in your present selfs excitement, you turn off the machine before your future self wrote the winning lottery numbers into it for your past self.
What would happen?
Well, “no objective reality” is a lot more accurate to the truth of the world than any alternative. It might not be as narratively satisfying as a story where objective truths exist, but I suspect the human desire for objective truth is a cultural value that would be in our best interest to shed.