I don’t know, so this is pure speculation on my part with no point of reference related to Blizzard whatsoever.
I’m not sure exactly when work started on WoW, but I can imagine it was several years prior to its initial release, perhaps in the late 90s.
Today, with modern software development, source version control tools are extremely common. If you are unfamiliar with them, perhaps you have edited a Google Doc, and shared it with someone else, who also edited it. At some point, you found a feature to view all edits by all authors, including the ability to revert the document to a particular point in time.
Source version control is a way to keep track of changes to software code, and also to have multiple people contribute to the same code base, while keeping track of changes.
Today, what seems like the most common (certainly for open source, I am not sure what is common for game companies), is Git. Prior to Git, SVN was quite popular (and other based off it). It was introduced originally in 2000. My guess is that if Blizzard was using a source version control tool for WoW, it was not SVN, but something that existed prior.
I would be skeptical of claims that they did not use any source version control, though truth be told, I do not have any idea how common it was in software at the time. I could not imagine any significant software being worked on today, especially among multiple developers without using some form of source version control.
In addition to this, they likely downloaded and had access to some of the clients being used on private servers; which I imagine they mean whenever I hear or read reference client, though it’s quite possible (probably even) that they have every single release (and even releases which were never released) archived, on CD, DVD, hard disks, tape, you name it.
So, to conclude… I don’t know, and I don’t really have any idea.