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Not a stumper, just a very common question.
Paying a CO or a CA generally does not help your score. It's the fact that you have a collection account or a charge off that is the impact. Sometimes the balance on a CO can be included in your avail credit, and it demolishes your util. So in those (rare) cases, paying it off can help. (deleted a sentence--got you mixed up with the other ticket guy in Cali).
So it doesn't help your score, but it would help you on a manual review--which a mortgage app is. And if you didn't pay it off, you probably would be required to before closing. So take that into consideration too.
That's why people advocate for PFD's--a deletion usually involves a score jump, unless you have lots of baddies or it affects AAoA.