ESC, GFCI devices do not, I repeat: do not require an EGC to operate. I take your comment to mean that a plug-in GFCI tester will not trip the GFCI receptacle. That is true.
A GFCI operates by detecting a difference in current between the hot and the neutral, which indicates that much current is getting back to the neutral by some other pathway.
A GFCI's internal test button allows 5 ma. to flow between the circuit's hot (after the current sensor) and the neutral (ahead of the current sensor). (120v / 0.005a = 24K Ohms)
The reason a GFCI's test button works, and a plug-in tester's test button does not, is that the receptacle has access to the neutral ahead of the differential-current sensor, and the plug-in tester does not.
Therefore, the only way the plug-in tester can place a low-current pathway between hot and earth is through the grounding pin. If it used the neutral, the GFCI wouldn't detect any difference.