Possible, but Parv is also a cantankerous old man whose opinions and ideas tend to ignore context. Nice enough guy to chat with, extremely knowledgeable about eras and territories that are oft overlooked, but taking his word as gospel isn't necessarily advised.
To use a more recent analogy, there were a few points in time where ROH was drawing larger live gates than TNA, but at no point would anyone have considered ROH the bigger promotion.
To further clarify, JCW being the default #2 only happened between the final Nitro and the launch of ROH/TNA. The next closest consistent draw in the US, coupled with distribution size, would've been XPW.
So yes. There was a period where WWE was #1, JCW was #2, and XPW was #3. By default.
Man...puts the early praise of TNA into perspective, really.