Busa was my first bike, bought it 6/6/06.
I lived through both those bad juju's!
Have never lost control of the bike, and have only dropped it at something like 3 MPH when I stalled it taking off on a hill from a stop sign. VERY difficult to leg press 500 pounds with one leg...
I'm sitting here thinking "But what if the guy's a teenager?"
I remember feeling immortal and bulletproof up until I was at least 21 or more... It seems the brain uses less blood supply than another certain organ up until about then. And that's speaking from personal experience...
Your being here and just asking the question would put you in probably the top 5% of people your age in good judgment, so that's a good indicator.
I read two books before I even bought the bike- Keith Code's "A Twist of the Wrist" (goes WAY into detail on performance and technique, should be worth 3 college credit hours!!) and "Motorcycling Excellence" by the MSF Foundation. Become a student of motorcycling and study it to increase your skills and enjoyment.
But I disagree with conventional wisdom about the 600/750 starter bike, they are less powerful but much more abrupt and squirrelly in how they respond to throttle inputs.
For instance, unless you just get stupid and whack it in first, you're not going to wheelie the Busa like you will the smaller bike. A smooth launch and then full throttle in first will result in nothing more than a few inches off the ground as you reach 8-9000 RPMs, you probably won't even notice it. In second, you have to try to make it wheelie. That's what the 100 lbs additional weight does.
Just like smaller bikes, the Busa will get stupid fast and you will have to learn when to brake because that is often a cause of losing control. Braking going DOWNHILL makes a tremendous difference on the Busa, again because of weight.
Any bike you can run into a corner too hard, and either exceed the bike's performance envelope or just freak and lose it.
So bottom line it all comes down to judgment and maturity in making decisions, studying the subject, and taking it slowly in operating the bike and choosing what environment to put yourself in while you're learning. For instance, while it may be tempting to run around with buddies who are on their Gixxers, that is NOT where you can move forward at your own pace and not be subjected to peer pressure to F-up.
If you can swing an 08 Busa, they come with the selector mode switch, which would be PERFECT to learn the bike. Start with C mode which is the weakest, and you have a much lower performance level to deal with. Make yourself a solemn vow not to change it for maybe a month. Then go to B which just takes the abruptness off throttle application for a while, then full balls-out A mode (warp drive switch!)
Reason for the long response, getting ready to get my kid a 600, he turns 18 in November, so I've had all this on my mind for a while!
P.S.- WEAR ALL THE GEAR, ALL THE TIME!!!
I'm talking helmet, jacket with armor, riding pants, gloves, and riding-specific boots. Watch any You Tube video of a stunta squid losing a wheelie and you'll see the first thing to happen is his tennies are torn off his feet, or the feet go with them. It's not just bruises and broken bones, it's burn unit time with you in a chemically-induced coma to stop the screaming agony long enough for the skin grafts to heal. If you have a power sander at home, put 40-grit on it and run it against your elbow for five seconds to simulate sliding to a stop. If you can cope with that and the ensuing healing process, never mind the gloves, jacket, pants, and boots.