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.
Dow Chemical shareholders will get one DowDuPont share for each Dow Chemical share held, while DuPont shareholders will get 1.282 shares in DowDuPont for each DuPont share they own. The companies said the split would occur as soon as feasible and would likely happen 18-24 months after the deal closes, which is expected in the second half of 2016.