If abortion went away as an issue right wing cultists would just focus on something else the court decides: guns, CRT, gays, the list goes on and on. They try to win every cultural issue through the courts because most of society doesn't agree with them and they can't win these issues at the ballot box.
The biggest cultural supreme court cases in the past say 50 years have gone in the left favor. If anything it is actually the right's economic agenda which goes through the courts than social issues. Maybe gun control and a few religious freedom issues but both of these have very strong arguments for being within the constitution.(1st and 2nd amendment.) Issues like gay marriage/abortions etc were all decided in the lefts favor. Maybe now the social issues will start to be right leaning but not overwhelmingly so.
Meanwhile abortion's argument is built on the more flimsy Roe V Wade. Even if it was overturned the social right would still have to win at the ballot box to enact abortion bans.