Actually no. If they are removing the lates but not the charge off on your report than it won't affect your score at all. As long as it continues to report as a charge off any other changes to the account won't matter since the charge off is the most severe derog being reported for the account.
Now if they were to remove the lates and relist the account as an open account you would be in business. Even if they were to change it from a charge off to a settled account it wouldn't help much. Unfortunately Cap1 is a tough one too since they seem to make an effort to keep the account listed on your CR for as long as possible.