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Many use the word "collection" to describe both collection agencies and charge-offs. In terms of reporting and FICO scoring, it isn't a collection, but a CO. That's why you see "0" in that field. If you look within the TL itself, you will likely see a CO notation.
COs like utilities and telecoms won't mark you late 30 or 60+ days. They only report once it becomes CO'd. And you certainly wouldn't want them to update their reporting to include those lates.
It hurts. I'd send a PFD (it'll take many). Paying in full will not make it any more favorable per FICO scoring. It is impossible to get that TL to report as a positive. "Open" refers to the collection status, as in "open collection". Your account is closed, but they are actively engaged in collections on it. Getting them to report as closed won't do anything.
If you look at your FICO report, and turn to the Credit At-A-Glance page (around 4-5 pages into the report), it'll give a summary. If you have no CAs reporting, then it should read "0" for collections. But at the top right, it'll say something like "Total Past Due". Your Verizon Balance should be in there. And to the right of that it'll say "accounts with negative indicators" or something like that, and it should have Verizion tallied in there. For more info, go to your Accounts summary page (lists all of your accounts on one page). There's a column showing a red flag. There should be a red flag next to Verizon pointing out that it is viewed as a negative.
Look within the TL itself....is there a "dispute" comment?