All right... [Izuku's enthusiasm and optimism is making him feel a little better, and he nods.]

I'm not—sure where they were...

[He's also not sure why his memories are so fuzzy, like he's just woken up and doesn't really know where he is yet. Fortunately, he is able to remember his friends' names, when asked. It would be strange if he couldn't! Right?]

Shouta and Hizashi and Nemuri. They're really cool, you'd like them.

Me? Oh, I—

[At this, he does hesitate, though he's not sure why. Not knowing his own name would be weirder than not knowing his friends' names.]

I'm Oboro! Nice to meet you, Izuku!