There are certain precedents: if you travel abroad to have sex with children, or commit espionage or terrorism against your home country, you can be prosecuted in the US even if what you did was "100% legal" in the jurisdiction where the acts physically took place.
Applying this kind of logic to speeding or indeed healthcare does seem like an overreach of government - but in general Americans who support women's reproductive rights favour more government overreach, not less.
It's just a smear. Biased language ("overreach") addressing generalities rather than specifics is how you nudge people toward "this group is bad, because they favor [biased language bad thing that everyone agrees is bad—what, are you going to defend 'overreach'? Of course not]".
Applying this kind of logic to speeding or indeed healthcare does seem like an overreach of government - but in general Americans who support women's reproductive rights favour more government overreach, not less.