Okay, I'm confused. You defaulted on them, right?
Did you consolidate the loans, from default?
Or did you rehab the loans to get out of default, then consolidated them?
In either case, if those lates were legitimately aquired before you did anything, then no they will likely not be removed. Consolidation does not remove the lates, and rehabbing sometimes does. However, you do not have the right to have the lates removed through either process; rehabbing will remove the default though. (From Dept of Education: Rehab vs Consolidation). Sometimes the servicer will remove them and sometimes people can get them removed after a rehab through CRA disputes, but technically disputing is only for inaccurate information. In addition, the federal government requires that the servicer report accurately so you cannot get a Goodwill adjustment.
If the lates were accurate but recent, you could always ask the original servicer on those loans if you can get a retroactive forbearance. Some people they just grant it, some people they give a hard time to so you have to be persistent. If you get the retroactive forbearance, your lates will likely not be removed. Instead do a dispute with the CRA, including the forbearance letter. They should be removed then.
If the lates are inaccurate, you can dispute them. CRAs, then student loan Ombudsman, then if none of that works, Consumer Financial Protection Bureau (CFPB) Complaint.
Student Loan servicers do a lot of things that go against regulation. However, the latest gov report released about them has decided 1) they do a lot of things that hurt the borrowers and 2) we're not going to hold then accountable for it. In the end the best you can do is use the resources laid out to resolve disputes because nothing short of a lawsuit is going to stop them and from past lawsuits, not even that. Trust me, you're not alone in being frustrated by servicers.
Good luck.