/jp/ - Otaku Culture

Can someone explain to me how the usage of 飽き足らず and 責めて欲しい works here? Context is there's a pussy desiring cock. I feel like I'm over complicating things in my head which stops me from understanding the meaning. What I've understand so far is "It doesn't matter who it's from, it wants it (cock). This conniving cunt". For ムッツリ what would be a good word for it? Untruthful? Deceptive as in (on the surface pure, beneath cock hungry)? 飽き足らず is what's really throwing me through the loop. 飽き (boredom/tedium) 足らず (short of) which makes it sound like "not tired of" but given the context of the following "誰でもいい... it makes it feel like the meaning is incorrect.