As for the brand compatibility, I cannot say. You'd have to check the UL web site, or ask your GE rep that question.
My real problem is the AHJ using a 'tester.' According to UL, the only true test of an AFCI is with the test button on the breaker. "Testing" tools might be nice, but the results are open to debate.
Simply put, the breaker makers are not about to tell the instrument makers just exactly what their magic AFCI tests for. So, the instrument makers are left to guess. As a result, a particular tester may work on one brand of breaker, but not another.