I sort of like the sentiment but this sort of interview, at least for me, would feel a bit too personal. Look I'm not your friend so let's not pretend that's what this or you just really want to get to know me. No. You just want to know if I can do the job so just get me to do a task which meaningfully reflects what I'd be doing day-to-day then ask me questions about it.
This holds two things constant: You and the job.
On-the-job training is inevitable. The question is what you'll primarily be trained in: Office politics, or some other skillset which will actually go on your resume.
Similarly, the job will inevitably change if you're around long enough, and that's the nub of the meat of this: It's an old adage that you should never marry someone to try and change them, because people don't change, they just become like they are, only moreso. Both ends of the equation change, but they change around a solid core which was formed decades ago and will not be modified except through some serious event.
So personality matters quite a bit if you're looking for a marriage. If you're looking for a hookup, it only matters on the extreme ends of the bell curve.