No. Those are the very definition of publishers, not communications providers masquerading as publishers when it's politically convenient for them (recall the dance around Section 230 protections).
If a local newspaper ever somehow became the central point of communication for a significant fraction of the population, posting nearly everything they received by default with very little to no curation, then it would be reasonable to reexamine the expectations placed upon them by society.
If a local newspaper ever somehow became the central point of communication for a significant fraction of the population, posting nearly everything they received by default with very little to no curation, then it would be reasonable to reexamine the expectations placed upon them by society.