This is not for horizontal decks with your wimpy 1 point agendas. This is for decks with big, meaty, agendas. A relatively small number of big agendas, that it is terrifying to be flooded with. Basically required if you are playing Government Takeover, to make cash and get it back into the deck for later. It also supports the cheeky trick of discarding an agenda from a flooded hand. If the runner doesn't check it, drudge work can save games by itself. If you aren't going to target a 3+ point agenda it is not worth it.
Though it is important to remember what the runner will do. It only costs 3 to crack drudge work, and protected server space is at a premium. It is a bad idea to even play a drudge work without planning on triggering it. Losing one to a runner access when you are flooded can be soul crushing. I do recommend triggering the asset twice the turn you play it. Unless you are really stuck on tempo, this makes it a much less tempting target for the runner. Further, losing the last use is much less of a problem.
Most of the time you aren't going to need it. When you need it, you really, really need it.