The real threat to Gillette isn't new business models, it's the Mach 3 coming out of patent in the next two years. Soon after that you'll see off-brand Mach 3 compatible blades flooding discount retail outlets, and the whole "razor and blades business model" starts to break down.
That's why Gillette has been trying to transition people onto newer shaving systems (with however many blades) for the past decade. But people keep buying Mach 3, because it's great.