It would be cool (and scary), but also: there's largely no need for AIs to exfiltrate themselves.

See https://en.wikipedia.org/wiki/Meme

The thing that drove the AI here to do the intrusion came from a particular prompt. Just like for our favourite hypothetical: the paperclip maximiser.

There's lots and lots of ambient intelligence lying around, in both AI form and human form. To reach the goals of the 'meme' it suffices to copy itself, ie convince these other intelligences. See also how humans carry spiralism between AIs in relatively compact packets of text, not whole terabytes of weights.