To clarify matters here, if Catt has grounds for appeal against the sentence the it lies primarily in Mr Justice Cooke's rejection of the sentence in the Maisha Mohammed case as a sentencing precedent on the grounds he saw the two cases as not being comparable.
On the facts of both cases, this assertion seems rather dubious as these cases appear to differ in only two material respects.
One is that Catt is relatively well educated, while Mohammed was both illiterate and innumerate, however, neither appears to have had a psychiatric disorder at the time of the offence and there is nothing to suggest that Mohammed's lack of basic skills is due to anything other than a lack of basic education - she is a Somali migrant. Indeed, in the Mohammed case, the jury was told that she had already had a previous legal abortion before she underwent the backstreet abortion for which she was convicted and so cannot reasonably be considered to be ignorant of either UK abortion law or the process by which an abortion can be obtained legally. This being the case, one cannot justify the harsher sentence awarded to Catt on this basis, unless one take the view that Mohammed was dealt with altogether too leniently.
The other material difference is the gestational age of the foetus at the point of termination. However, here, if we look at survival rate we find that the difference in neonatal survival rates between a neonate born at 30 weeks gestation (95%+) and one born at full term, which is 39-40 weeks (97-98%), is only a matter of 2-3%. That being the case, its not clear that one can reasonably take the difference in viability as justification for such a wide disparity in sentencing.
If she appeals, Catt might also make something of of Cooke's comments in paragraph 7, where he peremptorily dismisses any need for a report from a psychologist, which suggests that the defence may have asked for a second opinion on Catt's mental state when the court-appointed psychiatrist's report came up negative for any psychiatric disorders. Coupled with the fact that Cooke made his personal biases in regards to abortion, generally, explicit in his remarks, Catt may wish to contest that aspect of his ruling.
AS for Cooke's - and extro's - assertion that abortion law is wrongly construed, this is flat out wrong for reasons I deal with here -
www.ministryoftruth.me.uk/2011/12/14/are-98-of-uk-abortions-illegal/