I doubt that she will get bigger role in YJ even if she becomes Batgirl.
Barbara is on the show since season 1, Tim since season 2 and they have hardly gotten any focus sofar. With Barbara even having major developments like becoming Batgirl and getting cripled and becoming oracle in between seasons, that iirc never got really mentioned on screen.
But the thing was Barbara didn't have much of a role in Season 1. Season 2 she appeared as Batgirl, but only maybe two episodes of note? Season 3 she shined the most as Oracle. Question is will we see evolution at work when it comes to Cass or Steph? Are they stuck in these roles?
And behold I shall be a blight upon the land and everything I touch shall wither and die.
It's possible Cassandra or Stephanie will become Batgirl. Or even Batgirls.
However, this would be fanservice for comic fans at most, the characters will still be relegated in the story.
There are too many characters in Young Justice. And, unlike Titans, there isn't a big predilection for Bat-Family members.
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That is the true downside with Season 3. It only had one "prequel" comic to build on while Seasons 1 and 2 had so many issues that expanded on everything from bits of dialogue to important scenes the cartoon never showed (Beast Boy's origin and his mom's death by Queen Bee).
And behold I shall be a blight upon the land and everything I touch shall wither and die.