The phrase can imply passion or even obsession when describing someone's focus on others or an activity.

Emotional Tone

Avoid using 'wrapped up in' to suggest casual or light interest; it implies deep involvement.

Exclusivity Error

It can carry a negative connotation indicating neglect of other responsibilities or interests.

Use 'wrapped up' to mean that a task has been fully completed—not partially done.

Use it to convey a sense of finality, indicating no further action or discussion is needed.

Emphasizes the successful conclusion of a challenge or lengthy process.