Of course he did. Occupational hazard of your dog figuring out how to piggyback off your connection to the psychic network. (Smartest damn dog Shinji's ever met.)

In any case, Shinji happens to be the one nearest the door, so he opens it. "Hey."

Does he dare hope Shiro's taking him up on the implicit invitation to come be Not Okay somewhere... not really. He's not very good at hope as a general rule, and it's not like Shiro's backsliding was without cause. But Shiro did come over, and that's a good step.