The "Satisfaction of Judgment" will probably have little impact on your overall score, although I could be wrong. It will still appear as a public record showing you have paid it.
As you know a "Vacated Judgment" would remove the enitire record from your CR.
Since the creditor has been paid, I think there would be little chance of them showing up in court, especially since you have the "Satisfaction of Judgment" in hand. Most judges would surely question any opposition the creditor may have to removing the record altogether. However as others have said YMMV.