I really don't know how to take that reply. A dispute and removing lates are 2 different things. A dispute is saying you disagree with the lates.
I would be worried they are verified. But I have also seen where they initiate a dispute and don't respond.
Let me clarify, she told me that they would dispute all late charges to the credit buroughs from capital one, capital one makes up ~75% of my late charges on my credit report.