"Sounds strange" is part of how privilege works.
What those names actually sound to target audience is white and black. If you read the section on how they picked the names, those were the most obviously white and black names they could come up with, using both census data and actual reactions to resumes.
That a typical black name sounds exaggerated and African to you is a pretty good sign you aren't black. Jamal, for example, is an Arabic name. If you look at name frequencies from 1979, some names of equivalent frequency to Lakisha are Janice, Christa, Gloria, Lynn, Shelley, and Alexis. For Jamal, names of similar frequency are Rudy, Josh, Allan, and Gordon. (Source: US Social Security department.) If you think this study would be materially different with Janice and Gordon than Emily and Greg, you're welcome to run it. But I think you'd be wasting your time.
I used to live in Chicago, where they did this study, and definitely knew both of those names, so they didn't sound "strange" to me, not in the sense of "I've never heard of this name," anyhow. They did sound strange in the sense of, "not part of my tribe," though. As a white guy who grew up in a white area of a neighboring state, I didn't personally know anybody with those names until later in life. But I knew they were black names.
And that's the kind of "sounds strange" that can influence hiring decisions. Not one person need say, "I hate black people, so I'm throwing this resume out." All they have to do is start callbacks with the one that "looks best" to them, one they have a good feeling about. One that seems the least strange.
The reason that the people who talk about privilege don't talk much about black privilege or female privilege is that they are pursuing social justice. Their effort is part of a long historical arc going back to when black people were property and women might as well have been. Once we've finished tiding that mess up, I imagine the conversation will shift quite a bit.