I used barb-less hooks at my pond. So much easier to remove hooks. Once the hook gets past the esophageal sphincter, the difference between barbed and barb-less starts to be minimal. The hook remover tool you linked may help out in this situation, but I have not tried one.
I don't feel like I have lost any fish during the fight, but I have lost a few once they are out of the water and flopping around...the hook, without tension, comes out more easily and the fish flops back into the water. I am usually trying to weigh the fish while still hooked.
