Is this really because of the whiteboard though? Interviewing is a stressful thing to go through, and no process is going to be perfect for everyone. I agree that in general it can be harsh on candidates who are not glib and extrovertive, but this doesn't have much to do with the whiteboard.
Yes, I have no problem at all with a "traditional" job interview. Even ones where I've been given a paper exam and then left alone for a while have been okay. Though I also find that kind of interview to be rather distasteful, I've never actually had any problem doing well on the exam. Doing well on written exams (with solitude) is a skill that anyone who has graduated from a good school probably has already been forced to acquire.