That may've been the case at Unimatrix-01, but Borg that were not around her may've continued to function normally despite here death. This is supported by the fact that the Borg Sphere that was pursuing Voyager continued to function (and attack Voyager, weakening it's armor) even after the Queen had died.
Dow and Union Carbide to merge: two companies that have profited from the deaths of thousands. By Martin McLaughlin. 6 August 1999. Dow Chemical and Union Carbide announced a corporate merger Wednesday, with Dow acquiring control of the smaller firm through a stock swap and assuming its debts, in a deal worth $11.6 billion.
A Lesson In Predatory Price-Cutting: Herbert Dow, the Monopoly Breaker. Herbert Dow founded Dow Chemical in Midland, Michigan when he invented a way to produce bromine cheaply. He sold the chemical for industrial purposes all over the US for 36 cents per pound at the turn of the 20th century.