The AMA is a professional association. It's owned by it's members. About quarter of a million physicians and medical students.

Cochrane are often the only organisation holding large pharmaceutical companies to any account, with respect to overstating the effect and safety of their products.

For instance when Roche was making a killing out of tamiflu during the swine flu pandemic, it was cochrane that raised the alarm that they refused to share their trial data, who published that there was insufficient evidence to support its use. And it was people working for cochrane that started legal proceedings against Roche. Cochrane reviewer sues Roche for claiming Tamiflu could slow flu pandemic.

They are not owned by big pharma.