No... but I assume even in the pre-digital days most people only ever had one, at most two, newspaper subscriptions. And the newspaper (er, news website) publishers are still living in that world.
But you also had the option to go out and buy the day's newspaper yourself. Maybe I don't want a subscription, but you can't buy a "day pass" online for like $2 either. Sure that's about half a weekly subscription to the NYTimes, but I don't have to commit (and have to remember to cancel) a subscription.