Maybe I'm reading too generously, but my sense is that the format described in the article is intended to be used for encoding and transferring data to be used in some other application rather than something where you can assume constraints like "no punctuation". I could imagine using the "JSON lines" format for things like encoding a large number of records to insert for test cases or as a way of sharing a test dataset with another developer; I'm not convinced that either of those would work well without any punctuation whatsoever, and even if they could, I suspect I'd still rather pay the cost of slower importing in order to make my testing code (and any manual reading/transformation outside of my code) easy to do without having to add some additional processing step to deal with the punctuation.
The best argument against this format to me is that it's possible to just use JSON itself for this by wrapping all of the values in an array. I'm not totally convinced that the quality of life improvements of not needing to add commas along with the single pair of square braces necessitate an entirely new file format, but realistically I think I'll just end up following whatever happens to be supported by the tooling I use for a given project. If "JSON lines" became widely used overnight, I wouldn't be bothered by it, but if I never end up seeing it supported by anything, I doubt I'll miss it.