Most of the replacement songs for WWE versions aren't even this trope in action, as they're usually not even close to the original pieces. As it turns out, WCW using this trope has probably saved WWE a ton of headaches, as they (usually) haven't had to bother with editing music on their archived WCW broadcasts, and certainly not to the same extent as they've had to self-edit.The official NWO theme used on television was never actually used in a WCW video game, instead being replaced by a very, very similar re-recording that would go on to be used in TNA as well. This is especially notable in WCW Backstage Assault, which had many entrance themes redone and some just getting a stock generic track shared among them instead of redoing or using themes that sounded too close to real songs.
Weirdly enough WCW regularly did this to ITSELF for video games, with JHV of their own already JHV themes for wrestlers like NWO members, DDP, and Jeff Jarrett.As well, Time Warner's dysfunctional structure meant that WCW (then part of Turner Broadcasting) would still have to go through Warner Music Group (then a Time Warner company) through the same channels as any other company. It's cheaper to get JH to write the song for you. On the other hand, just because they "own" the rights doesn't mean they don't have to pay the artist to use the song. WCW was perhaps the worse offender before it got bought out, which is rather odd they were a Time Warner subsidiary, and Time Warner then owned most of the labels that were getting ripped off.