All the same, this will be a very interesting case. Casey does appear to grant great deference to the state when it comes to the purpose of any abortion law they pass for safety reasons, the "undue burden" standard seems more concerned with the effect and not the state's reason for a law. If the Court finds that a woman's access to abortion is not unduly burdened by the State's new law then they might just uphold it. However, they could go a step further and actually analyze the purpose of the State's law, actually questioning whether it does protect a woman's health or is simply an abortion restriction in disguise.
A straightforward due process analysis in an abortion case?
This is the Supreme Court you're talking about. Casey is a giant jurisprudential mess for a reason.