Centrifugal force is dependant ONLY on speed and radius of corner, and it is the centrifugal force that is pushing your tyre outwards hence would cause a lowside. Your weight as you lean would cause a MOMENT around the point of contact. Yes, putting your weight over the bike would both decrease this moment AND increase the force pushing the tyre into the road, but this is countered by the fact that for the same corner, at the same speed, you have to lean the bike over more; hence increasing the moment, and decreasing the force you are pushing the tyre into the road with. Undoing all your hard work.
Add to this the fact that as the bike is leaning more, the contact patch is much smaller, so the coefficient of friction lower; all adds up to DON’T DO THIS AT ANYTHING MORE THAN WALKING PACE!!!
If you are scraping the pegs like this; I suggest you, erm, don’t.
You would be cornering much safer if you lean with the bike; I’m not talking about hanging off, just move your body a little bit and lean with the bike, instead of resisting it.
Just remember the more the bike leans, the lower the grip; grip is not so dependant on where your body is; this would have a negligible effect compared to other factors.
The aim for a safe, fast corner is to get round it with the LEAST lean possible, hence maximising your grip. For you, since you say you are uncomfortable with hanging off (as you obviously will be until you are an experienced rider), the ‘least lean’ will probably involve just shifting your body a little bit into the turn. But certainly don’t shift it the wrong way.
The reason you find it ‘more stable’ is because you are not used to leaning over enough, and leaning against the turn gives you a false sense of security, almost making you think you aren’t actually leaning that much. But it is a false sense, and if you knew what was going on with the tyre you’d feel differently.
I have an engineering degree and have studied stuff like this in depth; but if you want it from a more bike orientated practical viewpoint; I’m sure if your instructors saw you doing this they’d have a word.