I'm not convinced the issue is crosstalk, but I AM positive that you can DEFINITELY create issues by bundling cables. I suspect the issue is more the extremely poor connection at the SATA end, where any misalignment can cause issues. If the connector is being pulled by the cable instead of being allowed to float free, it can create an angle between the drive and the connector, and when the drive vibrates and moves from thermal expansion the wires don't touch the pads on the drive solidly. This can cause CRC errors, and in extreme cases cause the drive to temporarily stop responding.
It doesn't help that the cable and connector design has gone through several changes, with some cables being incompatible with some drives, notably the retention mechanism that's supposed to help alleviate the issues in my first paragraph.
TL;DR, Don't bundle cables, allow them to relax near the drives so they don't pull on the connectors.
If someone can link to a study that proves crosstalk corruption in modern SATA cables is a thing, I'm definitely willing to learn, but all I can find are studies proving data corrupting crosstalk shouldn't be possible due to balanced signalling.
Looks like a custom cable set, should be easy to refit by splitting the existing cables into smaller sections and providing each section with a dedicated PSU feed.