Yes, same procedure. Your home state can always tax all your income, regardless of its source. Other states can tax you as a non-resident on your income earned from work carried out in that state (unless the non-resident state has a reciprocal agreement with your home state).
This web reference lists all the states with reciprocal agreements:
https://www.thebalance.com/state-with-reciprocal-agreements-3193329
Also, be aware that you don't have to file a return in a non-resident state unless your income exceeds that state's filing threshold for non-residents. But note that filing thresholds are often based on one's total income from all sources.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
