I do understand why it's so critical for you to cling to refusing "statistics." You are tying the woman's right to an abortion and the fact that it trumps a fetus' right to life based on the possibility of death in every pregnancy... not a pregnancy with complications, but any pregnancy. It doesn't matter how many times you dismiss statistics, this is an incredibly stupid decision. If stats don't matter, then it wouldn't matter if 1 in 10 mothers die in childbirth, or 20 in 100,000 as is the case. In fact, it wouldn't matter if 1 in 1,000,000 die in childbirth or 1 in the history of childbirth. If the stats don't matter, then you're admitting that it's alright to violate another's right to life in the protection of yours and that it is this protection of life that is a liberty. YOU were the one who introduced the risk of death being relevant in the mothers right to an abortion.
Similarly, I am at risk of being killed by someone who steps onto an elevator with me. It might be a very small risk, but we've established that the "statistics" don't matter. Because of the risk that does exist, a person is justified in killing the other person to avoid the risk, however small, of being killed.
Your problem is tying the risk to the mothers liberties. If you didn't do this, then you would be acknowledging that it is the right to an abortion in and of itself, even without risk, that trumps the life of the fetus, which would disprove your insistence that the fetus has a right to life.
Does that help you understand why you're wrong?