However there is a major question brought up by that chart - most of the decline in cirrhosis occurred before prohibition was enacted. So it is not a great indication that the illegalization was the cause of the decline. Also, the steepest increase begins again decades later.
Unfortunately, we don't have any conditions so directly correlated to abortions in the same way like cirrhosis to alcohol or lung cancer and disease to smoking. So, hospitalizations would really only indicate an increase in the number of people seeking unsafe abortions while actual illegal abortions would remain fairly opaque.
I can somewhat agree that there would likely be less abortions - though I don't think we'd ever be able to tell how much - but, as you seem to accept yourself, there almost certainly be more life-threatening consequences for an abortion ban. Possibly even leading to more deaths than legalizing abortion and supporting women's choices especially in the cases where they choose to have a child.