this may open a whole can of worms, but I go a little crazy always hearing people talk about "weighting" the outside pedal in a turn. I think it is important to understand what this does AND what it DOES NOT DO.

The location of your center of gravity is very important to the bike, as it directly affects the forces acting upon the bike/rider system, but you cannot change your center of gravity via simple muscular stress. Even when you are pushing on that outside pedal, it is doing nothing to change your CofG. Period. Beyond this simple anchor mechanism, pushing "harder" on the outside pedal does nothing productive.

Creating a line of force down that outside leg to the pedal will anchor you better, and allow you to relax more, and relaxing helps confidence, and it all leads to a smoother line through the turn. So, it affects stability, but maybe not in the way many people talk about it. A small point perhaps, but I have seen how understanding what is actually physically going on can make everyone more confident and faster through the turns.