Not exactly... In the US, organizations use this form of self-censorship to prevent a potential backlash from the public, whereas in Russia, the bans are direct orders from the government and the employers simply don't have any choice.
If you enjoy audio fiction, or short stories you might enjoy “The Revolution, brought to you by Nike”. It was written by an ad industry insider, and touches on a lot of issues regarding corporate self-censorship. (It’s a few years old, and predates Nike’s recent political activism):
https://escapepod.org/2018/09/06/escape-pod-644-the-revoluti...