Question

@experimentX
Let go here

Answer 1

Better for us to use illustrations to prove our point.

Answer 2

@experimentX check this out:

Answer 3

Two loops of wire.

Answer 4

As you can see BOTH are closed.
So current can flow in both and lenz's law is still in effect.

Answer 5

The X mark spot, is now open
meaning the loop is not a "closed" path.

Answer 6

current can NOT flow through both of them regardless of the size.

Answer 7

Yea, but again. Having a larger thickness means there will be more charge to flow from a higher potential to a lower one.
But think about it, even if EMF was applied to move te charge from a high potential to low, it can't mainly because the path in which it can move in is open. So it is stuck in the same place unable to move.