Content is identical in the full version. The comparatively limited PS3 demo is just indicative of the issues they had with that system.

I'll repost this if you want to see the graphical differences between both versions, both in image and video form.
Face-Off: Bayonetta | DigitalFoundry

According to reports from the video games press who have the US versions, they haven't 'fixed' anything. Though they said they could release a patch.