Yes, indirectly Venom's departure contributes to Eddie Brock's death.
Here's a breakdown:
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Brock's Dependence on the Symbiote: Eddie Brock becomes heavily reliant on the Venom symbiote for his survival. This dependency stems from his cancer diagnosis. The symbiote keeps the disease at bay.
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The Symbiote's Departure: The critical point is that Brock dies after the symbiote leaves him. The reference material explicitly states, "Brock dies after the symbiote leaves him for Spider-Man, not wanting a diseased host."
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Cancer Returns: The symbiote's presence suppresses Brock's cancer. When it leaves, the cancer progresses rapidly, leading to his death. The symbiote, therefore, does not directly kill Brock. Instead, it's the absence of the symbiote's influence on his cancer that causes his demise. The symbiote chooses a healthier host (Spider-Man) rather than stay with a dying Brock. The symbiote can be seen to be 'killing' Brock, in the sense that the symbiote is facilitating the host's death by leaving and indirectly triggering a relapse of the cancer.