If anything it is more likely that the deninsovans aquired genes from the decedents of the groups of Homo Erectus that migrated throughout south east asia and quite probably remained in small quantities in remote areas (like Homo Floresiensis did) when the denisovans arrived.

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Edit: Then it is the question of: Say that the Denisovans acquired genes from other hominin through interbreeding, would these genes then be passed on to us when our homo sapien ancestors interbreed with the Denisovans? That is a question I have no confidence in answering and should probably be deferred to geneticist or a genetic statistician.