Recognizing that Tony Stark's identity as Iron Man isn't secret, he still has a "civilian," non-superheroic part of his life (the post said "no job and no attachments other than to fellow superheroes," and Stark has both). That would be rather different than, say, the X-Men, who connect almost exclusively to each other even in their "off hours" because the bulk of non-superheroic world hates mutants.
And I guess that even someone like Doctor Manhattan falls more into the Tony Stark category, even if he doesn't have a suit of armor he can take off and his only job is as Doctor Manhattan, on the grounds that having attachments outside of other superheroes is his one big character conflict and not having them ultimately leads to his ceasing to be a superhero at all. I'm not sure that's so distant from the Tick though, in the sense that there's nothing stopping him from making friends with the hot dog cart guy.
Someone disappeared by the Bat family to become a superhero while not creating a new identity for life on the outside actually seems like the opposite to me, that's someone who
only has a secret identity. I can't help thinking of how often this comes up in Young Justice, like every second new hero is initially this, and they have an official policy to promptly assign them an alter ego to take on company bonding retreats to the mall or carnival.
Where does Invincible's Robot fit on this alignment chart? He's known exclusively as a (very non-human) superhero, similar to Red Tornado, except he does
have a secret identity stored in a vat, but the secret identity doesn't have a job or attachments either....