You mean they CLAIM a COP of whatever... which is not the same as having it. Not only would 16kW be enough to power thinggies like you say, but, way more important, it would do away with any need for input power of ANY SORT to the device. So, for example, it should be able to run on a glass table in the middle of a parking lot, under continuous observation for weeks or months without any input power, right? That would be very easy to test. Want to bet that test will NEVER be done?
You know that money doesn't grow on trees, right? What's with this paranoid levels of skepticism around here?