Yes this is true. Republicans have proposed or talked about proposing such a type of bill to the South Carolina House of Congress. However, I would like to note that many officials in the South Carolina Government believe that the law will not pass, even if it was proposed. According to this article, South Carloina Senate Majority Leader, who is a republican from Edgefield, "But Senate Majority Leader Shane Massey, R – Edgefield, said the legislation has “zero chance” of becoming law. 'What we’ve got over here, it’s just a rogue thing that’s going on over there,” Massey told reporters this week at the State House. 'It’s not going to have support in the House, I suspect.'" Hence, there is some talk of it, but it looks a majority of republicans do not support this bill.
Link to the article:
https://www.live5news.com/2023/03/17/sc-gop-leaders-bill-that-could-impose-death-penalty-abortions-wont-become-law/