I worked for one of these companies, personally shredded some disks while visiting a data center and implemented workflow to wipe disks, so I can give you some food for thought.
It's never about not trusting the secure erasing of disk. We know it works, because we do have to occasionally send disks back to vendors for hardware troubleshooting and obviously that could only be erased, not shredded. We only do this when the vendor engineers couldn't troubleshoot onsite, or we fly them over instead of sending hardware out.
However, for anyone worked in a large enough company, you would know that so long as software and human is involved, there will be bugs, mistakes or even internal bad actors. We not only securely erase every single disk before shredding them, they are all fully encrypted with unique key to begin with. Shredding onsite is simply last line of defense against any potential mistakes in any part of the process. We lock down the entire data center if there is any mismatch about where disk are compared to inventory tracking system at the end of day.
Just thinking about moving any disks off the data center is a nightmare. The "send to vendor" I mentioned above is handled with great care with a lot of overhead for very few disks. The cost of implementing such a process for every disk getting decommissioned will make whatever cost recouped laughable, even if we assume such a process is fool-proof, which will likely never be. And guess what? Even with all these process, we still occasionally see eBay listing claiming hardware from our DC that we take down or just outright buy to help track down how it happened. Such incident are always considered major incidents to root cause.
That's all because the consequences of data leak is not a joke. It's sometimes regulation for certain types of data. Other times it's the exact same media regretting the shredding here that would jump onto any leaks causing a huge PR trouble. Then if you store your customer's data, you don't want to risk losing their trust, which likely costs way more than those disks worth. Whoever wants to "reuse" better have the power to bail out the companies legally for any mistake that happens due to such a process. This likely means a standard process with certification that provides legal impunity. But even that, it won't solve the trust problem or PR disaster, so I don't expect big companies to jump onboard without mandates.