No.1 thing they teach you during a MSF (here) is SLOW riding, hence it's the time when those 400+lbs can get really heavy at slow speeds, being most instable (actually still stand is most instable).
No.2 is braking (!) if you don't learn the habit of starting soft on the front brake and ending with a death grip, you'll most likely lock up the front tire and go sailing.
They won't teach you how to corner or how to wheelie/endo or even launch like a drag racer.
Short elaboration on physics for you:
Bike got not enough weight on the front tire when cruising or just letting of the throttle to shave off some speed. In order to get max. braking on the front, you need most of yours and the bike's weight on the front tire! Accomplished by introducing the brake soft and increasing the grip on the brake lever with the increasing weight, shifting to the front.
All comes down to TRACTION
If I wouldn't be practicing all the slow riding when coasting towards most of my red lights or being lazy, not wanting to put a foot down, staying at a rolling stop at the speed of 0.5mph... I would've lost my bike yesterday.
Wrong turn, did a U turn until I realized it's a 1way, tried to finish my 360 turn and went to the steering stop, lost balance, put a foot down while rolling and revved the engine a little.
My left hand fiercly holding in the clutch and not letting go even while dealing with the balance issues.
And don't give a crap about tranny issues on your bike. You'd need to royally revv high while being stuck in between gears, grinding or jamming the gear sprockets before you destroy a transmission. It's more likely to burn/glaze a clutch than doing this.
You should've gotten an even older bike than the 05. One with no aiding systems at all. No slipper clutch, No ABS, No Throttle modes (I know yours doesnt have all of this).
A buddy who's been riding for over 20yrs by now, trusted his new traction control too much on the ZX10 and almost highsided cuz he forgot he turned it off.