That's not comparable. Netflix did not have a monopoly on "shipping DVDs". Plenty of retailers, online or brick-and-mortar, did that at the same time Netflix did, and video rental places were still going. Some of which would deliver movies (the local Marcos near me had a deal with a local Family Video where if you bought a large pizza they would bring you both the pizza and a movie of your choice from Family Video, assuming it was in stock).
Nor has Netflix had a monopoly on streaming.