So, when I interview someone, I ask them some technical questions and maybe some questions about their work, and provide structured feedback to a seperate group of people who make final hiring decisions.

There's actually not a whole lot of reason for me to look at their resume. The group who makes hiring decisions has it, so my interpretation of it won't be that valuable. Potentially I could ask them to elaborate on some of their prior work or projects, but that's usually less meaningful than just asking technical questions.