Would overturning Roe actually depoliticize the abortion debate?

[TML]

It should be noted that in places with blanket abortion bans, well-off people can still afford to travel to places where abortion is legal in order to get the procedure, whereas people who are not well-off are screwed. Thus, overturning Roe will only help to shed a light on unequal access to abortion by economic status (and contrary to what some people may think, even people who may outwardly declare themselves to be anti-abortion will still seek it if they think it helps their own self-image - Tim Murphy of PA is an example of this).