Toji and Aida both tease Shinji in ep. 5 for staring at Rei in her bathing suit, and later Misato (and also Ritsuko, I believe) comment on his feelings towards Rei. In a later episode (in the teens before ep. 17) Toji strikes Shinji with a broom for ogling Rei. Asuka also notes several times how lose they seem.
The scene you have a pic of is a perfect encapsulation of Shinji's proximity to Rei, as even in public he is able to enjoy her company despite his introversion earlier in the series. He and Asuka never share an intimate scene after the kissing fiasco in ep. 15(?). His rejection of Misato's advances after Rei's death show his distance from her as well.
I just wanted to point it out as part of my defense of the Freudian influences on the series.
If humans are just Angels with inward facing AT fields (the Fruit of Knowledge), then Angels could be seen as humans with outward facing AT fields (the Fruit of Life). If the Angels can split their core and have multiple presences containing the Fruit of Life, then why should human selves/psyche (which I believe is analogous to the cores) be able to split in the same fashion and retain part of their selves.>>3295725
Think of the Hedgehog's dilema.
Rei can't hurt you, like a doll. The comfort she offers is hollow and she wouldn't even raise a hand in self defense.
Asuka can hurt you, like the hedgehog, but she is able to offer warmth if you're not afraid of the possible pain associated with human interaction.
At least that's how I see it.