They should have had a lawyer write this thing.
It's quite simple, actually - you only have the rights that the copyright holder explicitly grants you. These rights can be outlined in a readme file or the documentation or they can be implied by something the copyright holder does.
By uploading to Aminet, the copyright holder obviously agrees that the Aminet team distributes it to all of its mirrors and that other people download the software from these mirrors - after all, that's the only reason for Aminet's existence.
But unless the copyright holder states in the readme file that the software can also distributed by other entities, via other means, the software is
not freely distributable. It's just available for download from Aminet.
what license did "Aminet internet archives" (whatever organization or person that means)
The license was "We distribute it as long as they let us" - it's the same deal Aminet has with every other uploader. It's not written down like that anywhere, but it's implied by (a) the author uploading his stuff to a distribution network and (b) the distribution network offering a way of having files removed.