Seems like James Damore took their advice.
I think that "bring your whole self" assumed that the politics everyone would talk about would be politics in the general, diffuse, societal sense. The proper scope of government, the merits of particular policies and candidates, how to solve problems X and Y.
Politics in the sense of judging on who deserves to work at Google, or who is underserving, which directly implies that certain Googlers would be unfit to be there under different regimes, isn't outward-facing. It directly hurts peers. A policy which evicts someone for introducing the notion that some Googlers are unfit to be Googlers will also selectively hurt some folks at Google for speaking their mind.
Google can't have it both ways. I think they made the better choice. I'd rather treat my coworkers compassionately, think of them as humans with complex natures, than to be "right" and "meritocratic" and make them feel threatened and unworthy.
This was literally a selling point at Google:
> Larry Page and Sergey Brin ... had designed their company's famously open culture to facilitate free thinking. Employees were “obligated to dissent” if they saw something they disagreed with, and they were encouraged to “bring their whole selves” to work rather than check their politics and personal lives at the door.[1]
Lots of companies have figured out that "having a worthwhile mission", in addition to just a paycheck, is one way to distinguish themselves from other potential employers.
[1] https://www.wired.com/story/inside-google-three-years-misery...