The state would find it’s money better spent through education and access to contraception, and opportunities for women.
All those, and more, are being done.
I will also point out that fetuses are not people
The right to life starts at nidation as that’s when nature choses to attempt to bring a particular life to fruit, go argue with the constitutional court (you can safely skip everything from after the guiding principles to section C, that’s the main reasoning the rest is context). Human dignity extends even further, protecting e.g. against bullshit pre-implementation diagnostics.
“X is not a person” is a rather weak argument in general. As that’s the US reasoning I’ll point you towards various adult people that the US has, in the past, not considered persons. That kind of reasoning is absolutely incompatible with the German constitution and the time frames Roe vs. Wade use to decide whether someone is a person or not are absolutely arbitrary: A foetus develops as, not to, a human.
Is she also a murderer?
Completely bullshit argument. Consider that she’s lost in a desert with her kid without water, she carries it back to safety but it doesn’t survive the trip. Is she a murderer?
A cooldown period means multiple trips to the doctor. It means taking at least 2 days off work.
You can’t get counselling at the same place you get the abortion, conflict of interest. Also why would you take days off, counselling doesn’t take longer than shopping (make an appointment!), don’t you have weekends also why would taking a day off be an issue.
Does Germany also criminalize self harm (cutting)? Overeating? Recklessly engaging in sports without protective equipment? Should we not also give out fines and force people in front of judges for these activities?
None of those involve another person.
No threat of law will stop back-alley abortions.
Indeed, threat of punishment can’t do that. That’s why there’s a flurry of social programmes and decriminalised abortions available. Believe it or not but back-alley abortions aren’t a thing there, and neither is forbidding women to use highways to get to an appointment.
Generally speaking the whole thing is 99.99% uncontroversial in Germany. There’s occasionally talk about details, e.g. Bavaria not getting its shit together when it comes to making sure that enough gynecologists provide abortions, but nothing that rocks the core foundations of the whole thing.