I disagree. I understand she wants to prove her point. And she has avoided the specifics this time. But what if there is someone else who has a bad punt. I didn't have a good time. But I will think twice about posting a review. In fact I won't so that she doesn't know who I am. That way no one will know my punting name. This is not helpful to the forum in general. Or I will change details or post it way after the punt.
I take it you're making a general point and it's not really the screenshots that have prompted your decision (as you've already said that you use a punting phone and name so surely nothing important is at risk). Anyway, there are numerous things you can do to hide your identity in the review - either search the forum or feel free to ask.
If you still don't want to review, I think it's extremely poor that you haven't elaborated on why you didn't have a good time. Leaving other punters without important information very much goes against the ethos of this site and reflects poorly on your posts/reviews. I'm sure you wouldn't appreciate someone failing to do a negative review which may well have prevented you having a poor time.