In the case of a resignation during training, there most certainly IS a PRIA report...in this case it will show good training performance followed by a resignation.

The new employer will be fine with this...THEY know why you resigned. Future employers will see that you immediately started at another company without time for a job hunt/interviews, so they should not think you got fired.

People leave regional (even major) groundschools all the time..most of the industry hires at the same experience level based on supply & demand, so people who get hired usually have other interviews going on.

Where you might want to be careful is if you had trouble in training...if your training records show any significant difficulties, then it might appear as though you were told to resign or be fired. If you have a black mark, you might want to stay and finish just to avoid having that perception follow you around forever.