Ah, OK. I wonder what losing one's humanity would entail, though. We don't see Shinji exhibiting any superhuman abilities; Asuka's the only one with any special traits (that weird glowy eye). Mari also seems fairly normal physically. Additionally they're probably not immortal- Misato was pretty sure that the DSS Choker would kill Shinji, for example.
Not sure whether ReiQ has been cursed; her plug might have gone to a dangerous depth when Eva Mark.09 awakened, but we don't get any indication of it so that's probably not the case.
Shinji too had weird glowy eyes in 2.0 when he reactivated EV-01 against Zeruel.
As for the superhuman abilities, you can also count the fact that Asuka cracked a glass wall with one punch(although we're not sure it was security glass or not), and Shinji ripped apart the big security ring of his pilot seat in 2.0 when he "dived" into Zeruel's core to try to save Rei...
Besides both Shinji's DSS Choker and Asuka's eyepatch had angel sealing runes on them, they must be here for a reason...
ReiQ managed to eject without problems from Mark.09 when Asuka "stunned" it by decapitation, so her plug depth must have been in the safe level, besides her eyes didn't glowed which seems to be a sign that the pilot entered the dangerous depths. Which would be pretty ironic, as she's the least "human" of the pilot, both mentally(almost emotionless) and physically(she's a clone), yet is probably the only one who can age normally! Although she still need to do these regular LCL "baths"(probably to avoid to fall into pieces)
As for Mari, we didn't saw her very much AND only in her entry plug and she didn't do anything out of the ordinary for a pilot, so we don't know if she have some physical oddities too, but at least she suffer from the same curse than Asuka and maybe Shinji.
Now, we don't know if that curse completely stopped their aging or only slowed it down a lot
, maybe they're immortal from aging but obviously not from injuries. Interestingly, Kaworu too seems to don't age, thought we don't know if it's because he's cursed too or because some passive Angel ability, which Asuka and Mari could have unconsciously activated.(and maybe Shinji)