It depends on exactly what it is/are you are disputing. Some disputed accounts are not counted in score, which may be beneficial, and can be hurtful too if they drop your avg. age etc etc
There are a lot of variables, so essentially what it is you're disputing and why, and if there is alot of disputing, possibly the CRAs will put a FA on your report which will defer your auto app response to a manual underwriter = hinder your chances so I would say not to apply for any new accts