Livb and Cog are far from similar players. In fact, I would argue that skilled plays more similar to livb than Cog does.
They do both 1 table a lot I believe, so they share that. But it's not like cog and livb are the only guys that play adaptively postflop, most very good players are very adaptive and capable of doing just about anything in any situation if it is called for.
Livb is just known for that trait (also helps he often single tables and he's super competitive) and Paul happens to be incredibly good at articulating and teaching it, especially considering he's not playing $550+.