I think both you and pyuser583 are correct to a certain extent. The stated reasons for overturning Roe were because of the tenuous basis as a privacy grounded position. On the other hand I completely believe that Roe was such a politically charged issue that the judges voted according to their allegiance, even though they are not supposed to have such allegiances. Everybody would have been surprised if any of the judges had decided differently to how they did. So, while there may have been a legal argument to be made, I don't think that particular issue was decided on those grounds.