But is it wrong?
Impossible to say. It's unfalsifiable.
Is unfalsifiable a bad thing?
Yes. And unfalsifiable theory explains nothing and is of no use, regardless of whether or not it's "right". Because there's no potential situation where it could be definitively refuted, there's no way to know if it's right or not.
How are these things not dependent on a designer, if a designer made everything in the universe?
If
every single thing that could exist is the product of design, how would you know if anything is?