The simple answer is no - they are not the same and not interoperable and to display each you would have to modify or even completely rewrite image and/or video codecs and even players.
I don't know if you will be able to find 'an extensive comparison between these formats' because the majority of the modern device vendors(excluding Apple of course - because it always uses the 'special' format for everything it does) create their own format and approach.
I don't know all the specifics but from my experience, some vendors store their Live Photos as GIF files, some as an image with a 3gp or some type of AVC video attached. In some of them, there is a possibility to capture audio and some are mute. Some a represented as two files and some a packaged as a zip folder with a specific extension.
Even those who are represented as image and video are different - sometimes it is one image before the video, sometimes before and after, and sometimes it is a middle frame of the video.
Regarding export - some of them are exportable and some a not, and the latter is not about Apple only. So, yeah...