I think the notion that data would be a home is beyond weak, but the explanation you gave for why isn't solid either, since the objects of data do not need to and in this case haven't consented.

That is, recordings of people in public settings (in some jurisdictions) are property of the recorder, but it still isn't a home (just imagine how that would work in some jurisdictions, someone takes a picture of you and it's trespassing? Would you be able to shoot them?)