I think part of the discussion is definitely how a bike feels. No two people will get the same feeling from the same bike. One person may feel that a bike that tips into a turn easy is less stable than one that is inclined to go straight because has a shallow fork rake.
I once had a race bike(motorcycle road race) that if i hit a pebble on the track it would go into a violent tank slapper completely unstable. But I never had better feel for traction than that bike and it would carve side to side as easily as a bicycle.
I would compare that to a bike that had a very steep rake(I think crit bikes are like that) that the COG was right along the centre of rotation between the wheel quick releases.
Now I have a technical question for the engineers. If I am not sitting and standing with my weight all on the lower peddle. Is my centre of gravity where the peddle is or is it somewhere higher up m body?