Hard to say from that video. But if there's one thing about riding a motorcycle on a curvy road that you should know it is that it is very easy to run wide in a turn. Especially on a sport bike, whose handling is considerably less forgiving than a cruiser.
Railing turns on a mountain road takes a certain level of discipline. Knowing your limits is a big one. Avoiding being distracted is another. I, and many riders on this forum, have found ourselves going too hot into a turn, facing down oncoming traffic and have felt the urge to panic-brake. This is where one's discipline comes in.
As for the matter of accelerating through turns -- well yes, that is the proper thing to do. Slow in and fast out is the preferred technique, but it comes with a caveat: Don't over-do it. Many of the higher displacement sport bikes can easily overwhelm the back tire if you gronk on the throttle. Slipping the back end through a turn and wheelie-ing out may look cool, but is not recommended for those short on skills.
Take your daring and skill-stretching desires to the track -- always a good piece of advice.
~VDR