personally, I'd consider for the NT everyone who would want to play for it, especially if they feel honoured to be part of the NT.
Obviously, it is not that simple and there are multiple factors weighting in to the selection process, how the selection of one player will affect the other selected and also how it will affect the ones that will not be selected because of those selected.
on the other hand, maybe FIBA and other authorities, should limit the number of "naturalised" players in teams just that we do not end up with edge case scenarios of course.