There was a link.
Savita Halappanavar was a pregnant woman who was admitted to an Irish hospital with a blood infection. She needed an abortion to address the problem, but Irish law prohibits abortion except to save the woman's life. Because of this, the doctors waited... despite the fact that they deemed a miscarriage inevitable and despite the fact that Halappanavar requested one. They waited until the fetus actually miscarried before taking action. By the time they did, it was too late: she became septic and died.
This is the sort of situation that is created by laws that prohibit abortion except to save the woman's life: they make doctors unwilling to do life-saving abortions unless they're sure the woman is past the point where, at an inquest or trial after the fact, no expert witness would be able to say "it's possible she could have survived without an abortion."
So you are okay with those deaths, right?