Personally I'm fine in concept with parents having the right to walk away from a child they don't want, so long as it's a complete walk away. No obligations means no rights, no visitation, no anything. Legally you essentially aren't their parent anymore.
My mum gave my biological father that choice when he was trying to avoid child support by fudging his books, and pissing off is the best thing he ever did for me.
In practice, this is going to rely on their being a decent welfare system in place for supporting single parents when one of them choses to waive their 'rights and obligations' as a parent.
The fundamental problem with this is that The Government doesn't want to pay for your dad's kid.
The whole point of the child support system is to shift that burden onto the parents instead of The Government.
imagine you're in Texas and want or need an abortion. Let's say you want the abortion because you're in no economic position to support a baby, which implies you have little to no extra income. Now, someone says, "If you want an abortion, just go to California!" Okay, so now you need to take time off work and spend what, at least a day driving there, paying for gas, and do the same on the way back? As opposed to finding one locally if it were legal in Texas? If you can't afford it, it's effectively illegal for you.
And that's just assuming that Texas merely criminalized it being performed in the state. What happens if they criminalize having it done at all, and someone rats you out when you come back and you risk going to jail?
"Just go move to California then!"
Okay, but the overwhelming majority of Americans have like $500 or less in their checking accounts, so how is that going to work out in practice? Just moving to find likeminded people so you can live in peace works a lot better in theory than practice.
Laws are already being drafted to make it a criminal offense to cross state lines for the purpose of seeking an abortion, or aid someone in doing so. Some of these laws also include ferrying contraceptives or morning-after pills across state lines.
Hey! What about State's Rights?!
How DARE Texas forbid California from making money by providing abortions to Texans?!
That is against the rights of California!
(since the rights of people apparently don't matter...)
Unfortunately, legislature are not required to draft legal laws. And now it looks like the Supreme Court won't stop states from passing unlawful laws.
I mean, if I rob someone in Texas, and flee to California, California can't charge me for the robbery. They gotta drag me back to Texas, and let Texas decide.
Let's tie another issue up in an hypothetical: Should California be allowed to arrest anyone that fires a gun in Texas? Hmmm.....