The world isn't black and white, so if someone was in your situation and explained it upfront, I would be fine with it. It's the silent "I am just going to expect the interviewer to put up with all my issues" assumption that really bugs me.
It also depends on what role you are interviewing for. If your role is mainly going to be heads-down maybe it's OK. But if you're interviewing for a role where you'll have to be meeting lots of people all day, then the situation you describe above may actually be unfair to your coworkers.
It also depends on what role you are interviewing for. If your role is mainly going to be heads-down maybe it's OK. But if you're interviewing for a role where you'll have to be meeting lots of people all day, then the situation you describe above may actually be unfair to your coworkers.