Well it's normal : Shinji is too far gone to notice anything short of something like the Black Moon crashing in front of him, and Asuka is too pissed off to notice anything short of something like the Black Moon crashing in front of her(or a WILLE VTOL to pick them up!), besides both already saw a lot of cat in their life, for ReiQ it's probably the first time in her life that she see an organic being who's not humanoid(Lilin or Eva), she's probably wondering herself "What is this kind of creature?"
Now the question is who is Horus? Asuka, Gendo, or Misato?
Yui of course, it's always the ones you suspect the less!