I dont know about Dollar Shave Club, but Dorco razors last much, much longer than 3-5 shaves. They last 4 weeks or more and I shave daily. P&G sued DSC and Dorco a couple of years ago.
"P&G claimed that Dollar Shave Club’s razors infringe on patented technology used in the manufacture of Gillette’s Fusion, Mach 3 and Venus razors, which include cutting edges made of carbon, an overcoat layer of chromium and an outer layer of the synthetic resin polytetrafluoroethylene."
"The amended complaint states that Dorco has distributed shaving products that P&G claims infringe on its patents through Pace Shave Inc. and Dollar Shave Club as well as Costco, Sam’s Club, K-Mart, Bed Bath & Beyond, Walgreens, Family Dollar, Dollar General and Dorco USA Inc."
As much as you'd think they are different, they are pretty close. Especially at 5x the price.