Anything included in your bk will remain on your CR for 7 years from DOLA. As long as they say IIB, and that is accurate and true, the information is correct. The BK itself remains for 10 years.
The collection account, if discharged in the BK, should say IIB - and you can dispute that for the sake of accuracy. But I do not think it will make a big difference in your score to change one account from collection to IIB - the damage is done just with the BK on there. Hope that helps.