I've never had problems with a NJ Non-Res to get PA taxpayers NJ withholdings back.... Hope Intuit didn't break something....

It's a pretty common mistake that employers make who aren't familiar with reciprocity.

NJ 165 gets completed by the PA taxpayer and is retained by the NJ employer. It is not filed with the state. Its  required certification from EE to ER to substantiate  not withholding NJ taxes due to NJ/PA reciprocity