My impression of New Yorker as an unbaliased source of news has significantly declined over the past few years. They clearly have a specific liberal perspective. Maybe subtle in their bias but nonetheless a persistent and one sided one.
The New Yorker definitely presents itself as sort of the informed liberal analysis, but David Remnick seems like a fairly professional if outspoken liberal editor. Not the type to spread untruths. Russia is also his speciality so he's not going to stay out of the commentary on Putin. It's hard to appear truly unbiased when it comes to political/geopolitical coverage.