Hmm, this is the expected result which is used as input for the list of
disks in the corresponding "Disks, Partitions and Filesystems" window of
the installer. Can you please post a photo/screenshot of this window? I
see no more reason, why the disks shouldn't appear there.

Unfortunately we don’t get as far as seeing the “Disks, Partitions and Filesystems” window, as the installer immediately shows no unused disks are available after trying to start the install. Here is the set of photos for each step: Starting the installer, starting the install, and the message stating installation cannot continue. I also recorded the boot process for the installer (see https://youtu.be/oniQac6bObc). It seems perhaps the SATA link goes down (see 21 seconds into video), but I don’t know whether that could be the issue.