Look, you don't realize it, but your notion of how these businesses are arranged is totally wrong. You're foolishly mistaken, and all the arrogant bravado you parade doesn't change that fact.
Go look at the online resources that would tell you you're full of it. For example, go look at the quarterly and annual earnings statements from ATVI, the ones they are required by federal law to provide (and that are accurate under penalty of criminal sanction). What do those statements show? Earnings from all of Blizzard accrue to ATVI. Depreciation of Blizzard assets goes into ATVI's balance sheet. None of that would be happening if Blizzard wasn't a component of ATVI that directly connected to the outstanding shares in ATVI.
When you buy a share in ATVI, you buy a share in all components of ATVI including Blizzard. That's why Blizzard's financial data is in these reports.