US Pro-Life has been around doing this for decades. There is something to the argument that it was used to get evangelicals in the US into politics as a voting group when a long time ago they were largely apolitical before abortion was turned into a hot button issue.
As with any belief, there will be the whole range of motivations and actions that result from it. I know pro-life US evangelicals who run charities to help women with the costs of pregnancy and early child needs as part of their 'mission' to reduce abortion through targeting economic reasons for it & spend a lot of time and energy on it and on donating to causes to help research on the medical reasons for abortions.
I know others who talk a lot of shit but wouldn't do anything even if a child in front of them that they knew was being abused -- but I don't think they often do the 'Life is precious' argument unless we're talking politicians who often are only saying what they do for power. For most typical people like this, they're more likely to say 'it's part of God's plan' even when discussing maternal deaths. For some this might be a strongly held belief, but for most I've known, it's to handwave away issues that they don't want to get into when belonging to a particular community matters more than the pain the community's beliefs cause.
I know others, most of the young people I used to know, who were just raised with that ideal and continuing as they were taught, doing little here and there charity-wise, but it's not really something they spend a lot of time thinking or talking about this & aren't really petitioning their representatives for it. Many of the people who voted for the people involved in this bill weren't voting with this in mind, there are a range of other issues along with just the 'we're a Republican family/I've always voted...' inertia involved as well as a lack of desire of others to vote for anyone else in these areas. Low turnout from lack of faith in the system is a major issue.
While it's laudable to help children in need, it's irrelevant to the PL/PC argument - unless you seriously believe that it's better to be dead than living in poverty.
It's relevant when considering politicians who try to pull the "Life is precious" card as why they're fighting for something they're unlikely to be affected by when there is little evidence in their lives or the rest of their voting to back this belief - they're the ones arguing for this legislation, their morality on this matters. It also matters when considering the communities they're advertising by doing this to keep power who claim this is important to them, but act in very different ways.
The "unless you seriously believe that it's better to be dead than living in poverty." assumes the only argument for ensuring abortion is accessible is economic and that only those in poverty seek abortions or that only children of poor parents are "children in need". None of these are the case. Alongside those, there are a whole realm of medical and social arguments to ensure that women can make that choice safely while doing something as risky as pregnancy and childbirth well beyond economic options (even more risky in the US, statistically).
Many people born as unwanted children in part because of anti-abortion laws and cultural pressures, like me, have argued that our non-existence wouldn't have been the worst thing. I can't do anything that will make right a pregnancy, birth, and raising a child my mother was very vocal she didn't want, by all rights she shouldn't have had to do that and I shouldn't exist. She can't do anything that will make up for the pain and damage she caused me since I do exist.
I do in part blame the community members I knew well who spout shite about the importance "God's plan" and family, but never seemed to think it was part his plan to step in and protect any of us kids - or even my mother. There were so many times they had a cheerful smile and turned their back to keep the image of church going over actual lives.
So yeah, what those who claim an ideology that push into power and wield as power over others actual do and say is relevant for those who suffer the consequences. Yeah, I accept the alternative for me would be never existing to argue this, but I can't really argue that life is automatically better seeing the abuses on children and women within the communities that these politicians are appealing to with this bill. Things are more complicated.