If you have hit plateaus, it may not be that you need to lift more. It may be that you need to pay closer attention to your conditioning.
People tend to not like what they can't quantify, so battling ropes get mistakenly treated as an afterthought.
It is a very low dose, high stimulus movement. Just a little bit can go a long, long way. Like Old Granddad.
Good movement is like a good a song.
I have many favorite presses. French press. The free press. Full court press. Jamie Pressly. And, the Landmine Press.