1st, the Hyde Amendment was not a stand-alone bill. It was an amendment to a welfare funding bill. Carter had less interest in the amendment than he would have in a piece of peanut skin in a jar of Jiff.
His concern was the amount of spending, and he first threatened a veto of the bill, but reached a compromise with Democratic leaders, and then signed into law a $61.3 billion appropriations bill for the Departments of Labor and Health, Education and Welfare.
He was not signing 'the Hyde Amendment.'
Abortion wasn't even on his radar. Not even close. And apparently the Democratic leadership wasn't going to make an issue of the amendment either, in order to garner Republican support for their spending.
So spinning this as an effort on the part of Carter to restrict abortion is just...well...hogwash.
2nd, the Hyde Amendment didn't restrict abortion, and had little to no effect on the abortion rate. It simply restricted federal monies from being used for the procedure, except in cases of rape and when the life of the mother as at risk. Basically those on welfare, including Medicare/caid couldn't spend their benefits on this elective procedure.
Militant Feminists certainly howled about that, as expected, saying it was unfair that the poor had to spend their own cash to kill their kids. That's the only reason it got any notice at all. But practically no private insurance, or employer provided insurance was covering the procedure either.
So as far as any real restriction on abortion, the Hyde Amendment is just as weak as Carter.