Difference between Come between someone and Go between someone

come between someone—

1. interfere in the affairs of two other people:

• It is never wise to come between a man and his wife.

2. prevent a person from doing smth.:

• The true artist lets nothing come between himself and his work.

go between someone—act as a messenger between two people:

• She was given a bar of chocolate as her payment for going between her sister and her sister’s boyfriend.