I don't thing Universal's goal was ever to stick it to Disney.
I'm pretty sure it's always been about building the strength of their own business. I don't know that they actually care about market share as long as they're doing well in their own right.
Of course they'd like to better develop their own bubble and lock people in with resort stays but there's a lot in Unviersal and Disney guests that don't overlap that much. This may change as Disney continues to dip their toes in the thrill/action ride category to some degree but that's still a space they're clearly not feeling overly threatened by or trying to dominate... yet.
I could see this peeling off a day of what might otherwise have been a Disney-only trip in some instances and that might give TDO some pause if it ends up being the case, especially when it comes to where those folks are staying.
I'd like to see it succeed and scare Disney into doing a better job. Whether it does or not is anyone's guess.