I'll answer this from a racer perspective. The question sounds simple however, there are a lot of variables to consider. First, the corner itself, is it an increasing radius? decreasing, constant radius corner? What is the camber like? Flat...positive/negative? Is the surface bumpy? Smooth? Dry or wet...the list goes on and on...
Next, comes the entry speed...going in slow to point and shoot the corner? Are you trailing in all the way to the apex? Are you a newer rider and early apexing? Once all that is determined, from what I have seen at the track many many times is that if you sit in the middle of your seat, you do not have as much weight on the inside of the turn to tilt the bike in so, you have to lean the bike more which will give you a more extreme angle VS hanging off the bike which allows you to keep the bike more upright and allow the rider to drag knee (or these days elbow/shoulder) and keep the bike more upright and allow the tire to have a larger contact patch.
Which way is right? Well, any racer will tell you that there is no "ideal" body position or line. I know racers who do not hang off much yet, run the same times as riders who do hang off the bike. In the end, it boils down to doing what works for you to get through the turns fast. Now, keeping everything in mind I will leave you with this...the faster you can pick the bike up out of the turn, the faster you are going to be able to get on the throttle. So, ideally...that is what you want in terms of the balance of braking/line choice/and body position. Anytime you are coasting or braking you are NOT going faster so...any racer will tell you that the goal is to minimize the braking/coasting on a race track.
I hope this helps! I'm by no means an "expert" so, this is simply some of what I've learned in my years of racing. I would also recommend keeping the "fast" riding on the track as street is not as forgiving.