Hey, I’ve had a go at doing what you mentioned using the same plugin and I’m also seeing this issue, i.e. it seems to ignore the post_type option you pass in.
Hey, I’ve hacked to together a plugin which replicates the tagging widget you see in the blog post editing view. So when you edit a page you should be able to see and use the same widget.
Grab it from here. Please let me know if it works for you:
http://www.hiddentao.com/projects/wordpress-page-tags-plugin/