The original concept may have been Gordon-centric, but that changed after the PtBs were impressed by David Masousz's acting abilities, so, like it or not, we are going to see that character's life focused on.
Oh, I get that. The show's portrayal of Bruce is the only thing about it that's actually, consistently good. Still, one of the core problems with the show is that it cares more about continuity porn and tossing in familiar characters than it does about telling effective story arcs. Granted,
The Flash is just as heavy with comics nods, but somehow it works there, perhaps because it's portraying them in the "present," during the Flash's time as an active, adult superhero, rather than prematurely introducing them while the hero is still a child. And perhaps because the show as a whole has more of a sense of narrative direction and focus, so the character inclusions feel like they serve a purpose. This show is just meandering, so the comics character inclusions feel more arbitrary, as if continuity porn is the end in itself.
Or maybe it's just this specific case. Silver St. Cloud's importance to the Batman mythos is that she's that one really special woman whom Bruce loved, whom he allowed to get intimate enough with him that she actually figured out on her own that he was Batman, and who couldn't live with the risk that posed to him. It's a tragic love story that works because of Bruce's dual identity, the conflict between his lives as Bruce and Batman. So if you introduce a character named Silver St. Cloud into the story when Bruce is only 13 or 14 and is still years from adopting a dual identity (let alone being old enough to get intimate with a woman), then she isn't really Silver St. Cloud; she's just some girl he likes. It's using the name of the character in a context where the essence of the character can't really apply. I'm not sure that could work. Maybe they can come up with some twist that preserves the dynamic and meaning of the relationship without those aspects, but I really don't have any faith in these writers to be that clever.