Michael Kay wrote: "the result of serializing the map as JSON and then converting the JSON to XML will be an infinite XML document"
But this assumes a certain way of representing JSON data in XML (or, more generally, "information objects" in XML),
Yes, I was talking in the context of XPath 3.1 and this phrase was intended to mean "applying the function serialize($map, {'method':'json'}) and then applying the function json-to-xml()".
Of course the XML representation of JSON delivered by this function is not the only one possible. In particular, it is chosen ("arbitrarily" if you like) as a format that gives a lossless XML representation of any JSON text. For specific constrained JSON vocabularies and data models (e.g. the Linked Data model), you will always be able to devise something that's more suited to the particular model. For example, you can always do better if you know that all the keys in the JSON text will be valid XML names.