> several dozen children will be saved (due to inability to get abortions)
Believing something doesn't actually make it true. Mother Nature is unaffected by your conceits, even if a crowd of thousands are cheering you on, certain you can fly, your attempt to soar from the roof of the building up into the sky will result in falling to your death 'cos she doesn't give a shit.
They aren't "saving children" by forcing these pregnancies to go ahead except in the same sense they'd be "saving chickens" by enforcing more intensive factory farming techniques like debeaking and cages (also legal in Texas).
It seems to me that under the usual framework in which lawsuits are able to go ahead unburdened by judicial preflight the consequence of these lawsuits when the whole framework is found to be unconstitutional is that those who sued, and perhaps those who sponsored the bill, eat the costs of those defending the suits, such as ongoing child maintenance burden from anyone who can show they were either sued or the threat of suit caused them to go through with a pregnancy that would otherwise have been aborted.
That is, I would assume that "pro-life" groups in Texas and those who support them should expect to be paying for baby food, diapers, kid's clothes, school supplies and eventually college for at least dozens and maybe thousands of children over the expected 12-18 month life of this bill.
In the medium term, we've seen in countries where abortion is outlawed, the nature of modern technology is that the real consequences of that hit home very directly. Rich women of course "go on a trip" to have their abortion safely somewhere with legal abortion, but everybody else is obliged to take matters into their own hands, with too often deadly results.
Consider the Republic of Ireland. Its people were given a free vote on the matter and decided to amend their constitution to provide abortion, mostly in the first trimester although also in some other cases. Of course the US doesn't have a working mechanism to fix its constitution. Too bad, get one or get a fresh system of government and start from scratch.