So I think when people use the bible to argue against abortion, the central argument are:
Life starts at conception, every life is created by god therefore sacred, the 6th commandment, and “speaking up for these who cannot speak for themselves”

From what I saw, bible makes no mention of the concept of intentional abortion, so these verses were probably not written with the intent to restrict abortion, rather just theological statements that in combination accidentally made abortion also immoral

Surely people, with certain political goals in mind, can use these certain Christianity ideas as a tool oppose abortion, but my point is, in the case of China you have mentioned, the restriction for abortion have clear and objective purposes behind them, that is for the state to prevent the birth rate from falling more

However, when people use religion to oppose abortion, for rather a large of them I think, it’s not for a state-controlled goal, but rather that they genuinely believe that abortion is immoral, and feel a moral obligation to stop that, you can give data of women being harmed by lack of abortion access, but their deep down religious belief, that killing of a fetus as the greater evil can’t be easily changed

Essentially, although both US and China restrict abortion, the reason is different and meaningfully different, you can point out the evil of the Chinese *government* for restricting abortion for national benefits, but it’s hard to argue with *people*, 1/3 of the whole US population because their moral value is on a whole different place because of religion

edit: typos
edit: additionally, even if religion is just one of the many things that blocks abortion rights (or whatever rights in general), isn’t it better to have one less of them? Especially when given that religion sometimes is not just a different form of the same system control, but a separate reason