Very low concentrations of detergent make membranes leaky to small molecules and ions without damaging proteins. In isolated mitochondria exposed to detergent, the molecules of the electron transport chain and of ATP synthase remain intact. Do you expect ATP synthesis to continue in the presence of low concentrations of detergent?
Yes, because all enzymes and electron carriers are functional.
No, because with a leaky membrane, H+ gradient cannot be maintained.
No, because leaky membranes do not allow NADH and FADH2 to donate their electrons to the electron transport chain.
No, because leaky membranes inhibit glycolysis.