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Corporations do not get the option of being neutral, because the State commands otherwise. Every corporation says the exact same thing "we do not descriminate based on race, sex, etc." Because if they don't say that, then the EEOC will eviscorate them. Things like Pride Month are an extension of the civil rights legislation that created the EEOC and other departments of the Federal government.
If you doubt this, go ask someone who works in HR what would happen to a company if the EEOC decides that a company was a hostile work environment.