It fit the thrash style that Blood Brothers pulls off so well. I bash D.R.U.G.S. for their lyrics as well as their vocalist. Blood Brothers has, and will always have, some of the best lyrics next to FBTMOF's Art Damage.
To answer your question, Sex Life is the only D.R.U.G.S. song with cutting in it, but the lyrics are reminiscent of a high school diary.
actually Mr. Owl ate my Metal worm is a song that talks about cutting too hah.