Continued WithOut a Finding. Arrested (or summonsed), charge(s) filed, continued indefinitely without a finding.
Not indefinitely. It's continued for a specific time, with some kind of probation, could be unsupervised, then it is Dismissed. Technically there are two rulings, "Guilty" and "non-guilty" and Dismissed is part of non-guilty, but the reality is that a lot of PDs, maybe most, teat a CWOF/Dismissed as a Guilty/But-not-convicted.
A cwof is an admission to sufficient facts to find you guilty but you are instead placed on probation for a specific period of time (not indefinite) after which if you successfully complete all the terms of probation the case is dismissed. Of course if you fail to fulfill all the obligations of probation, then you have a guilty finding imposed possibly. Oh and IAAL.
I know you're a lawyer, and I respect what you say. But a CWOF does not
require an admission of sufficient facts, although that is commonly what is done. I've done a lot of research on this and there is simply no requirement. I also have first hand experience with a CWOF without an admission of sufficient facts, I was adamant that I would in no way admit to any guilt. But this didn't stop the PD from continually saying I admitted to sufficient facts (even without the "greensheet" to back it up).
To the OP, if the CoP says you will be denied for what looks like is based on suitability, the reason doesn't matter, the courts will back him up on it, at least on the District level if not higher up. So if you are going to fight it, know in advance that you will need the $$ to go all the way. Personally I think your chances are better in Fed court but IANAL.
I would live to hear about a case showing I'm wrong about this, that the District Court granted a license on appeal of a suitability denial based on a CWOF/Dismissal. Or even a higher court.