Will satisfying a judgment also satisfy the corresponding open debt reported in the accounts portion of the credit report?

Your question concerns two separate issues. A judgment is a legal action that is shown in the "public records" portion of your credit. Any legal item needs its' proper disposition. In the case of a judgment, the disposition is a "satisfaction of judgment". To obtain a satisfaction, the consumer would need to contact the courthouse (same jurisdiction) where the judgment was filed, show proof of payment and follow whatever legal procedure needed. The consumer would then need to have this satisfaction recorded. It is also a good idea to forward a recorded copy to the credit bureaus. An open debt in the tradelines, need to be updated to its' paid status, separate from the judgment.