From reading that she never really believed in leavign the EU, she's like Cameron; she supports a reformed EU.
She states "she never imagined leaving the EU", thus showing she's always supported it in one way or another, most leavers have no such love loss.
Also that article does not present any misgivings she's had about the EU, just about both campaigns. She gives no argument as to why we should leave the EU or why she feels Britain would prosper outside it. All she does is criticise the Leave campaign whilst also criticising the Remain campaigns project fear.
Here
http://www.drsarah.org.uk/issues/the-eu she outlines the debate itself, giving people information to make up their own minds rather than trying to convince them that leaving is the better option. She does not strike me as someone who supported the Leave campaign at all. She mentions that "We tend to think of the EU as benign and remote but what if a federal and ever more centralising Europe moves against our national interest? We will be powerless to effect meaningful change just as we are already unable to vote its leaders from power. The situation in Austria should act as a wake up call to those who feel that the direction of the EU could not change. My fundamental concern is that in our own mature democracy we must retain the ability to remove from power those who make the decisions which govern our lives."
This is a very important and influencing decision on the EU and one I happen to agree with; the direction of the EU and the lack of democratic process within the EU coupled with Britain's failure to influence or change things becoming apparent. Yet she's willing to ignore this and join a side asking to remain a part of this organisation on the basis that the Leave campaign hasn't presented the truth about the £350m (as in not mentioning we do get some of it back albeit only £120-150m of it). Even in her interview she stated that "right from the start I told them I would not hand out their leaflets".
Sarah Wollaston does not seem to me to be a strong enough believer in leaving the EU, and in my view she's also guilty of conning people by having them think she supported a campaign when she didn't.