Kirk has one ATER paper AFAIK. LENR has thousands., but proof is in the eye of the beholder.
The issue, not addressed by LENR researchers, is how many of those thousands papers provide support for ATER?
Phenomenologically it and LENR are very similar. Skeptics would however argue that most of those papers provide support for neitehr ATER nor LENR (and I think a good many LENR researchers would agree).
The key distinction showing LENR not ATER would be your lovely gammas, if those prove to be the result of unexpected metal hydride-induced nuclear reactions rather than something else...
Or, of course, a working Rossi reactor. If that is not an oxymoron.