Sorry Gosling I'm pretty confused now, haha.
COG is a bit of a tricky term to use here since forces other than gravity are determining the balance point; balance point is the import part.
Centre of mass is slightly important, in that most mass should be as close to the centre of most gyroscopic forces to allow the bike to "roll" around this point easiest, which is usually about smack-bang where the wheel hubs are.
Leaning left while turning right is just messing with the balance point but can still be done np, it's not breaking any law of 2 wheels or anything, it just means the bike will be more upright than the design (front fork rake and tyre profile) dictate the bike should be leaning for optimum equalibrium on the tyres (which is why putting different profile tyres than your bike is designed for usually makes it handle like crap and feel unnatural).
If you park a bike on flat ground and stand behind it like a sexually frustrated ducati owner. (Made that bold coz this is probably a good test to demonstrate counter steering and stuff) Lean it over to one side, notice the front wheel turns in a little. This is the "perfect" lean/turn-in combination for that bike at that lean with that turn radius. Chuck sliding, scrubbing and shifting the balance point (by moving off the seat) into the equation and things change, but my point is that there's a position that bike wants to sit, and however you acheive that position (planted on the seat, shifting off the seat, whatever) it will work fine... for that position.
Now if you wanna get real tricky, get friend to play 'sexually frustrated ducati owner' while you roll the bike foward by the bars and turn them sliiightly to the left, BUT, make sure the centre'ish of the bike (say, the engine) remains in the same longitude... don't let it move sideways (which is what gyroscopic force is about, and what your ducati-boy is ment to be stimulating, I mean, simulating.).
Seems impossible, but it's not, the only way the engine can remain in the same longitude is by rotating it -and the whole frame obviously-, so the front wheel can keep going where it wants to go, and the engine doesn't need to move sideways (which gyroscopic force will always resist against, in case you don't beleive me

)...
And now, wow, the bike has leaned over to the right.
And if you let go of the bars, the front wheel will fall into the turn, facing to the right.
Hence why we're taught to apply light input to the bars in the opposite direction to start a turn (counter-steering).
The bike leans.
Then we're taught to relax and be very very loose on the bars, and allow them to fall into the corner naturally (steering).
We're also taught to stay relaxed on the bars during the corner, because, when the front wheel goes over a bump, the angle of the tyre relative to the road changes, so the wheel needs to turn in some direction. Resisting the wheel and trying to hold it in the same position is equivalent to counter-steering, or normal steering, either of which is bad since you've already decided where you want to go and have no way to predict where those bumps will send you. So the tyres scuffs, then skips, then hopefuly grips again before you need a lift home and you're lefting thinking "geez, my suspension is crap".
Then coming out of the corner you need to counter-steer again, to pull the bike up straight (try it again in reverse with the ducati-lover, get the bike upright without changing the engine's longitude

). So apply input until it's upright, then relax again.
I've been taught to keep my feet on the outside pegs/pedals on anything with 2 wheels but don't know exactly why. I guess coz it's something I've just always thought "pfft, duh" so I've never thought about why.
Will do some tinkering and see what comes up.
I think definitely it's more anatomically possible and easier on the knees, haha.
Also on the ZXR with standard rearsets I need to lift my inside foot right up so the peg can fold up.
I'm sure the bike feels more stable with more weight on the outside peg, hmm.
ZXR"900" - In pieces... again.
Another engine gone but at least the purple and pink are still there, oh yeah.