Like numerous other kinds of adjunct, predicatives may be integrated into the structure as modifies, or detached, as supplements:
i They left empty-handed. [modifier]
ii Angry at this deception, Kim stormed out of the room. [supplement]
The supplements are positionally mobile and are set apart prosodically. The modifiers are of course like the complements, especially in cases where they occur very frequently with a particular verb, as with leave in [i], die in He died young, bear in the passive He was born rich, and so on.
–– The Cambridge Grammar of the English Language, p.263
Why is the predicative, empty-handed, in [i] classified into modifires? Is it mean though the predicative is oriented towards they [= predicand], empty-handed modifies left?
Or is it a modifier modifying the subject, they?