LOL I havent got a bloody clue whats going on here! I need an overhead view of the engine bay so I can see what goes where. Labelled if poss!
Basically the breather system on an engine is how the oil vapours are vented out from the engine block. This is usually by a pipe coming out from the engine into the area upstream or downstream of the throttle but definitely in the filtered area of the inlet tract.
The oil vapours are drawn out of the engine block by the vacuum in the manifold, then they are burnt off in the cylinders. Obviously if one of these breathers is disconnected, the block is not being ventilated as well as if it is actually being hoovered out by the manifold vacuum. Whether this makes a difference or not is a question that is not really agreed upon by everyone!
However if you want a breather filter on a pipe, it should be an existing pipe that youve had to unplug from the airbox because youre using an induction kit without a connector to plug the pipe into. THen you have to use a breather filter t0 make sure you dont leave the block open to accidentally sucking up crap, although I dont know how it would do that, the pressure should be outwards from the block always?