You're not getting very technical responses to this, so I'll bite.
> Why not just cut the wobble edge of a real CD off and attach it to a burned CD?
This would have a very low success rate, as the precision required to accurately cut off the wobbled edge on an original disc (and the target area on a CD-R) would a lot of upfront engineering as well as cost-prohibitive tools. Optical discs require more precise measurements than most people who favor the scrapbooking "cut-n-glue" solution can provide.
This is just as long as we're pretending it's possible. Opitcal discs lose a lot of structural integrity the moment you start breaking/cutting them. The reflective portion where the data resides is on a thin film substrate at the back of the CD. Cutting that without outright destroying the disc or (at least reducing the operating life) would take significant effort, as would precisely healing the new gap from combining two separate materials without destroying the alignment of all those microscopic ones and zeroes.
Not to mention that any adhesives you might apply to combine the two pieces would make that level of accuracy impossible, if not highly improbable. And then you have to hope the whole thing holds up while spinning. Even assuming you could get the two pieces to combine seamlessly, there's always the chance that you've done something that destroys the balance of the disc, which could have a number of unfortunate effects in spinning media. I don't think the Saturn drive spins fast enough for it to sling off and demolish your hardware, but it could cause data inaccuracies at the very least.
I mean a company could attempt to do it for you, but it'd be cheaper and more reliable to engineer Saturn-compatible CD-Rs (or offer a disc-pressing service) at that rate. Considering the only use is to defeat old copy protection, it's not going to have a market large enough to sustain it. So you're going to have high prices, and low enough product sales that it would probably not be worth inviting the legal trouble. Even after all that, CD-Rs can have all sorts of QA issues that can affect their shelf life. And then you still have the problem mentioned in the video where the drive hardware fails.
Replacing it with flash data is just a better long-term solution.