But does centrifical force have any thing to do with weight /wing loading ?
Not really. The "load" on the wing is 100% due to aerodynamics forces and 0% due to gravity and centripetal acceleration. What happens when you let go of the rope? The aerodynamic forces are the equivalent of the rope except that they depend only on what you do with the yoke.
Lettuce conduct some thought experiments.
You are flying along straight and level - you feel 1g under your butt, your wings are providing lift equal to the weight of the aircraft. Now, all of a sudden, Congress repeals the laws of gravity. What happens? Your lift doesn't go away, the "upward" force that had been balancing the acceleration of gravity now accelerates you upward. You still have 1G under your butt. Eliminating gravity did not change the loading on the wings - it just changed the trajectory of the aircraft. (You end up in a continuous loop...)
On the other hand, you are again flying on straight and level. Someone accidentally pulls the plug and all of the Earth's atmosphere suddenly wooshes down the drain and you are surrounded by vacuum. Now you have no lift from the wings (you can simulate the same effect by ejecting your wings in flight if you want to try this yourself). The "loading" is zero. The force under your butt is zero. No lift, no drag. Gravity is accelerating the airplane, it's contents, and you downwards at 32.2 ft/sec^2. You are in free fall.
External forces from things like gravity and centripital acceleration affect your trajectory, but do not result in loading of the wings - take them away and the load remains the same. The forces that you measure / feel / load the wings come strictly from the aerodynamic forces which are 100% controlled by the pilot. If you want a load of 1.414 g, you don't bank at 45 degrees, you pull back until you get 1.414g. Now, as part of our training, we learn to automatically pull as we roll to maintain altitude - it becomes a trained reflex (or muscle memory if you prefer), so it seems like the loading goes up in a turn. But that is just us, as pilots, making it happen even if we are no longer really aware that we are doing it.