Well this is quite a story and an embarrassment for Sony. My sources confirmed that the next A6000 definitely has no on sensor stabilization. And one of the source told me that:
The Sony Europe sites are undergoing heavy changes. And the company outsourced by Sony to do the website thought that also E-mount cameras have on sensor stabilization. That’s why they made the design you see on top of this post. It means even companies working for Sony are confused about what’s the difference between A and E-mount cameras! Bad joke I know :)
After reading the post here on SAR Sony quickly reacted and removed the sketch from their sites.