Absolutely. It's there simply because Robin needed something to do.
Another interesting thing is that Batman & Robin argues against Nightwing. In the script, Robin even declares that he's now called Nightwing (and he is wearing a Nightwing costume) and he tries to leave Batman and be a solo crimefighter. It basically says Dick going solo is a petulant and arrogant idea, and he belongs by Batman's side.
You can understand why they cut the line, as audiences watching a film called Batman & Robin would be bemused to find Robin calling himself Nightwing instead. But it kind of spoils a specific subplot in the movie.
Now I'm convince that right there might be a catalyst in Dan Didio's not so subtle disdain for Dick as Nightwing and the entire concept of him being his own hero.
These days we see the B&R Robin suit act as the official Nightwing suit for the New 52 complete with Grant Morrison including a scene in Batman Inc where Nightwing put a cape on himself bearing a vague resemblance to the film cape