To be fair, we have no idea how the recording device worked. For all we know, if it projects visions into your skull it might even be telepathic to some degree, using the viewer's own knowledge and imagination to drive the point home... they might have simply seen Data because they've associated synthetic life with the most high-profile android currently known.
But then again, I still think the android morphing into Data is a sign that Dr. Soong used the ancient androids as a template for his creations.