SHINJI (MONO):“But what would be the point in seeing her?
Talk to her about Ayanami or something?”
Mr. Tines: Meaning that despite having been flatmates for some weeks, they truly never broke the ice socially, even just as colleagues.
dzzthink: I think Shinji still relies on Asuka's companionship despite her treatment of him. This scene just shows how desperate he is to confide in someone and find a way to express his feelings. Luckily Kaworu arrives on cue.