I wouldn't stretch one unless you can truly handle it or are taking it to the drag strip, but that's just my take on it...
I don't find that I muscle the Busa in corners too much unless it's the Dragon and that's just because it's an intense road, I'm focused, tense...I tire quickly LOL
Counter-steering has really helped me learn to corner better...it should continue to get better for you, and you'll find you're not as worn out...also, it helps to keep your knees close to the tank, relax some...you may just need a bit more seat time to feel like the Busa isn't a land yacht
I went from a Harley to the Busa, so I wouldn't know what other sport bikes feel like...I'm sure what you had was more nimble...