Well given that Ezzo has said elsewhere he often used a REM detection device like the REM-Dreamer
he wouldn't need to realize he had been dreaming or that he was waking from one (as with my flashing eyes upon dream exit, which only happens for me immediately following dream exit even if I don't remember it, hence my 'falling asleep' confusion) since the REM-Dreamer is acting as his wake up alarm in this case he would be waking from an unremembered and internally unrecognized, but externally recognized via EILD REM detection, and thus would qualify for 'DE'ILD as in Dream Exit.

as to the comment WEILD'ed (WAKE EXIT INDUCED LUCID DREAM) about acronyms well to be frankly quite glib is:
Surely Indiscriminately Stating Your Philologically Haphazardly Useless Suggestion (SISYPHUS)