To simply show an extensive lack of cause/correlation between lower abortion rates and legal prohibitions on such.
Then I don't think the link manages it.
Conversely, a significant one concerning abortion proscription and relevant mortality rates.
Relevant? I think the unborn are fairly relevant. Else, same sort of thing. It's trying to compare disparate societies with very different approaches. It's a bit like comparing gun laws and violence in Japan with gun laws and violence in Texas. The variables that come into play are significant.
Now if you want to speak to estimates before Roe and after Roe, within the same cultural context. By some estimates the Roe decisions led to a dramatic increase, one that continued to grow yearly for nearly the first twenty years.
Are you pro-life writ large or merely selectively so?
You'll have to put particulars to what you mean by it. In the present the discourse was confined and my answer also.
The notion that anti abortion laws increase abortion, that they'd do anything other than decrease it, is contrary to any good reason. So how do selected countries appear to make a different case by way of? Well, in heavily religious (mostly Catholic) climes there are as frequently prohibitions relating to procreation. Couple the absence of contraceptives with increased populations and you get, unsurprisingly, an increase in abortions. And that's before we begin to address sexual practices among the poor and how many of the countries wherein the unreasonable claim is rooted have large, desperately poor and uneducated populations, particularly uneducated in matters relating to sexual practices.