The weakness in the lapping film system is "Honing Gymnastics" every system has it's weakness, you just have to work around it..
If I were honing mostly straight edge full hollows I would think Lapping Films rocked, but toss in a Heavy Chopper that needs some twists and turns and you will find the weakness pretty quickly...

A good 1k bevel setter as in most honing can make a huge difference in making things much easier