The biggest issue is the remote part, not the part-time part. I'm a professor, and myself and others in the dept. have remote, part-time PhD students. However,

The biggest issue is the remote part, not the part-time part. I'm a professor, and myself and others in the dept. have remote, part-time PhD students. However, they have finished their coursework, which must be done in person for the most part. The coursework could be done part-time, though.