Same activity, different economy. Emotion work is done for people you love; emotional labour is done for a wage, under an employer's rules about what you must appear to feel. Hochschild drew that line herself and still defends it.
Side by side
Aspect
Emotional labour
Emotion work
Paid
Yes
No
Rules set by
An employer
Nobody, or both of you
Can be refused
Not easily
In principle
Hochschild's term for it
This one
That one
What each one means
Emotional Labour
Managing your own feelings, and producing the display of them, because your job requires it and pays for it — Hochschild's term for feeling sold as part of a wage. In wider use since the 2010s it also covers the same management done unpaid in private life, a broadening Hochschild objects to.