The idea of "checking your politics at the door" implies that there is an apolitical baseline, which, in this case, is wrong.

Note that the debates at Google are not about "is Trump an idiot?". They are about political issues affecting decisions made by Google. In these debates, not bringing up politics is equivalent to continuing the status quo.

That's not avoiding politics, it is simply accepting the politics underlying the status quo. It may sometimes appear to be "neutral" because people have grown accustomed to it, but it isn't.