That's the kind of thing I was looking for Deadmanwalking, but Lara doesn't have Discipline 5. Lord Raith does, but though is listed for having an extra mild consequence for social (Superb Presence), he apparently doesn't get a second for hunger (Superb Discipline). At least not in my copy.
Vasiliki does, though. Discipline is his only stress track skill at Superb, so it's pretty clear the extra consequence comes from his Hunger track.
Not sure if this all adds up to yes they do or no they don't... and can these extra consequences be used for anything? Do you only get one extra mild consequence from your skills, even if you have several?
But extra mild consequences can come from stunts, which makes it kind of hard to tell from the sheets...