That would make sense. I wonder if, laying on the stomach is actually freeing the phrenic nerve, allowing the diaphragm to work better, and therefore providing more oxygen.
Actually I had to devise most of this myself as I've had a physical & mental, disability that was getting worse and worse with no cure or useful treatment. I'm writing things up at the moment, basically an explanation of how muscular imbalances lead to brain and nerve dysfunction causing (possibly explaining, depression, anxiety and a whole lot of other things) and what to do about it.
I should be able to share in a few weeks, if you're interested can you send me a message twitter.com/shardinator and I'll send you an early copy. Else I'll post something here when it's a little more fleshed out.
Massage under the mastoid process of the temporal bone. This will release pressure on your Limbic System in general, improving your emotional connection to the world, and in particular will let your Amygdala to settle reducing your sense of fear, in turn making you a more joyful and open person. Long term you want to find a way to strengthen and balance your Deep Neck Flexors and Deep Neck Extensors, however how to do that effectively is a very open question.