No, it's still PRIA reportable.
But if you're a low time piston pilot trying a jet for the first time, AND you can go back and complete training that will do a lot to mitigate the damage.
Strictly for purposes of spinning this situation at an interview, it would be best if you go back to PSA, vice another regional (I know they're all hiring). The fact that they took you back would indicate they deemed you worthy, but just inexperienced. Of course you have to weigh how long it will take to get another class date at PSA...I wouldn't hold your breath waiting for more than a month or two in today's environment.