Deposition errata is often the source of mild-moderate disagreements. It's not uncommon to see complaints that an errata is really just an attempt to reform otherwise damaging testimony, rather than a mere correction of a misheard word. Occasionally the issue will be large enough to warrant a discovery dispute.
Less common, but not unheard of, is a dispute over the accuracy of a transcript of a Court hearing. To begin, unlike in depositions, the Court reporter normally does not formally request errata except in the case of trials. You get what you get and anything after that is in something of a procedural gray area. To the extent the parties do have errata disputes, there is no clear route to …