No, the heart of the legal matter, is as noted in the first sentence, immunity.
Which is why I said that there should be no immunity for the Vatican if the Vatican knowingly lets accused priests come to the US (like Oregon) from foreign countries (like Ireland).
The key is knowingly. Ignorance is another matter.
There needs to be some immunity for foreign powers and that would be tanatmount to keeping it for the US, too - but no immunity for any foreign power for knowingly enabling.
BTW, the solicitor general that is defending the Vatican here is Elena KAGAN.
Remember her?