This is what I would like to see as an affordable product: get the whole sequence, so that ultimately one could theoretically re-synthesize their own chromosomes in the future. And get it now that we are still young and there is not too much damage in the DNA, information to be stored for later.
One point in what you wrote: the blank pages (introns) can be really important (like for gene expression regulation, through chromatine folding, or promoters of transcription), we just can't be sure, and that's why it is paramount (when thinking of chromosomes synthesis applications) to have it all.
About the specifics of our discussion: Again, ambiguity! Because we're saying the same thing.
When I say it does not give the sequence, I mean the whole sequence (not only local subsequences), which means including the context.
(Although the notion of context is actually meaningful only if we are talking about local subsequences, as the global sequence is the context (or includes the context, if we reduce "context" to mean the reference global sequence against which the subseqs are aligned)).
Of course with your meaning you are right.