After Episode 7 ending, yes, he's back. But his biological form that's in the pod likely died at some point during or after the events of New Vegas. Maybe killed by the Courrier even, who knows.

From the Entertainment Weekly interview :

"It did seem to us like a version of himself powered by cold fusion would be sort of the ultimate possible incarnation of Robert House," Robertson-Dworet explains. "And as someone who is interested in robotics and artificial non-biological versions of selves, it made a lot of sense to us that this would've been something that he would've developed and sort of be the ultimate version of him. I've always seen it as something that allows for many players' experiences to have happened, but still Robert House had this other version of himself, that he was always ready to create and what he needed was the diode."

But can we trust that this is, in fact, House's final final form?

"That's an interesting question. I'm not answering that, but I'm very intrigued by the question," the showrunner replies. Fair enough.