> how many were petit larceny cases that resulted in jail time? How much jail time?
I don't think I've seen anyone get a jail sentence for a shoplifting petit larceny in New York. However, people commonly serve jail time before sentencing in these cases. There are two major causes: arrests and bail.
The DA statement in the article you cite says that people should be issued a summons for shoplifting rather than be arrested. It is true that this should happen, but a lot of police don't seem to agree with it and they have the power to arrest. I have seen more petit larcenies in DATs than under arrest at arraignment, but it's actually a pretty close call. People who are arrested can spend a few days in jail until they are arraigned.
At arraignment, the person will be released unless bail is set. Bail cannot be set in most misdemeanors in NY after bail reform. However regarding shoplifting, the legislature has passed the "harm over harm" carve out (referenced earlier) to allow a prosecutor to ask for bail if someone is, among other things, repeatedly accused of shoplifting. Having bail set in a misdemeanor like this is a big deal because a lot of people will serve more jail time waiting for a plea offer than would have been the sentence.
Regarding discretion to dismiss, this is a nuanced issue. Line prosecutors, unlike police, have astonishingly little autonomy. More specifically there is usually freedom to be more punitive but not less punitive. There are instances where discretion is pre-delegated and the prosecutor in arraignments can dismiss a case if they see a reason this would be a good idea, but this is extremely rare. What I was saying above is that petit larceny is not such a crime. Of course there are other ways to dismiss cases later in the process, but those require more work and are available to fewer people.
Anyway my original point, which I will stick to, was that shoplifting is not deprioritized or unprosecuted by the NYC DAs. They treat it as seriously as anything, and to my mind more seriously than they should.