Originally Posted by Sambo de Amigo
controlling someone for 15 mins is more convincing than getting a guillotine or flash KO.
Well, hugfest-blanketing control means "My opponent hopefully can't finish me as long as I lay on him"-control, while a finish is the ultimate control over your opponent like "I could pull down his pants and play 'hide the Tabasco bottle' or do whatever I want to him"-control.
If it weren't for the rules that stop a fight after a finish, a fighter could decide after a finish to do just the same LnP on his opponent, so LnP is included in a finish while the other way around a finish is not strictly included in LnP. Or mathematically speaking LnP (A) is just a subset of a finish (B):
That makes: finish > LnP