The reason pension funds include index funds in their mix of investments is because those funds have two features that are exactly what pension funds are aiming for: (1) broad diversification, and (2) conservative inclusion rules that avoid undue exposure to highly volatile firms.

Changing one of those features undermines the reasons for including the index. Doing it specifically for the purpose of including a firm where large pension funds have also been extraordinarily critical of the governance structure as a particular source of risk [0] even moreso.

[0] https://www.reuters.com/legal/government/new-york-california...