I can just as easily extract the opposite conclusion, and say that we must be incredibly special if it took an universe that big to create us. And it's as good as a conclusion until we discover if intelligent is common or not.
Another humbling aspect is how fragile we are. Even today, there is a number of unpredictable cosmic events outside our control that can destroy humanity and life on Earth very quickly. And every one of us is just a "meat bag" that doesn't know whether it will wake up tomorrow. I find these realizations humbling. Some people get depressed by these thought but they make me appreciate life even more.
I'd side with it not being a good argument.