I can use newspaper to:
1) Help get a fire going in a fireplace
2) Burn it to keep my hands warm in a "tent city" scenario
3) Read wherever I want (e.g. camping)
4) Keep physical historical records of events (in case the electricity/batteries ever disappear for more than a couple of days)
5) Clip coupons/ads and take them with me to the store
6) Grab it to read on the airplane/bus/etc.
More importantly, with independent and unique printed news media in every town/city of America it is almost impossible for any agency to grab complete control of the news media. However, if all physical newspapers are eliminted, online news sites could end up like "TV news" in that all news is "fed" to them. Saying goodby to printed media is one step closer to total centralization/control. Not a good situtation.
Imagine the future where all print media has long disappeared (everything is now via the internet) and suddenly civilization is thrown back to the stone age and people have to "start over". There will be no electricity, no batteries, but thank God we have all these "how to" books on farming, building, teaching, etc......that is, if they still exist.