Bad org culture will be bad no matter the mechanisms. You can use OKRs to be toxic and you can use Agile to be toxic and you can use your own bespoke bullshit to be toxic. There is no management framework that can fix bad culture because its only a part of it. Incentives structure, existing culture, hiring practices, company life cycle, market conditions, etc all contribute to it and no amount of data can fix those. Managing a company is like parenting, if you think that you can replace attention, care and hard work with a framework you are doing it wrong.