I say its about time they released a statement on it too! In the U.S it seems that even religious (meaning monks and nuns) practice Reiki at hospitals, even Catholic hospitals, and also at retreats held at their monasteries & convents. For an example of nuns promoting Reiki see this site.
There are plenty of articles on this subject out there so I would suggest reading the press release and document in question directly from the USCCB`s site to start. click here
In Japan Reiki is not practised in hospitals as far as I and those I asked know. I have also never heard of any churches or religious promoting it I think because they have a very different view on such practises compared to people in other countries. Here Reiki isn’t exotic, and one (non Catholic) friend called it a fraud.