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These issues arise when the culture the company portrays to employees and public doesnt align with actual culture. For companies that align their portrayed culture to employees with actual culture its not really an issue as quiting over a non missalignment is quiting for personal reasons. That said there is still behaviour public wont like even if it aligns with company culture (Uber). Quiting over that would still have affect in the court of public opinnion (vindictive behaviour, sexual abuse etc).

For local hot button issues the best a company can do is act locally on those issues and in line with local law and legislation. But what really matters to a global company is what its global potential client base thinks and this will trump local issues if they cant be accomadated.