IMO, your proposed second option leaves ambiguity as to whether "significant" means "statistically significant" or "materially significant." The original option is clear on that point.

However, I would argue that the original text is also misleading, because if the result wasn't statistically significant, there's no evidence that rates for females increased. If anything, the first option could perhaps say "While suicide rates for females IN THE STUDY increased after the show's release, the increase was not statistically significant, so we have no evidence that it's a real effect."