You have a weird definition of conventional.
Well, her appearance in front of Shinji in 1.0 could represent the "starting point" of her recollection of souls, her last appearance floating above the sea in the last scene of EoE being the point in time where she stopped to collect, as it was speculated for years, but in Rebuild her second appearance in front of Rei Q doesn't make sense in that scheme: what is that supposed to mean, "Sorry I have only enough timey-wimey mumbo-jumbo juice for 14 years for my collect of souls, so I'm ending it here, those who dies after this point, well bad luck, no hard feelings!"
The fact that Rei Q was visibly troubled by that appearation and started to get worried about Shinji and question herself after that "meeting" imply that it was what that Rei ghost had planned, to give Rei Q the "push" necessary to break her routine and start asking questions, that would lead her to desert neo-ENRV during the final battle. So that would mean that this Rei, if its indeed Quantum!Rei, or a telepathic emission from Rei II inside EVA-01 (and not a fragment of genetic memory of course) does have her own agenda going beyond "wait for everyone's plan to unfold and do whatever I want once Instrumentality starts".