He does if you look into the character history and interaction the characters have had over the years. Bruce's relationship with Dick isn't his relationship with Jason, which isn't his relationship with Tim, etc. Ditto for the Batgirls.
Tim was in a better place as Red Robin Post-Crisis then he was when the New 52 hit and he got shipped off to the Titans editorial office. It's been a struggle to recover him since then.
Cass and Steph defintiely got screwed over by DC editorial and Babs becoming Batgirl again. Heck, in some ways Babs becoming Batgirl again kind of screwed herself over.
There's only really been one consistent Batwoman for a long time. I don't think Helena Wayne had much of an impact in Gotham compared to Bertinelli so I don't think she's an issue. The Azrael most people think of is Jean-Paul.
B:TAS is definitive in a lot of ways but it also didn't showcase the many ways the Batfamily evolved or changed over time.It all orbits around Batman, who is largely an independent character by himself and doesn't need many of these other individual pieces to work. They need him more than the reverse. Especially the likes of present Tim and Steph, Luke, Harper and Duke who don't really enrichen his character on this already crowded stage. Like is DCAU Batman any less of a definitive version of the character, if not THE definitive version, for having a much smaller Bat-Family?
Like, to most fans now the lack of a proper Jason Todd or Red Hood would be seen as "less definitive." Or showcasing the Batgirl successions. Or Damian as Robin, even.
Just as a lot of people see the DCAU as the definitive take on the DC Universe even when there was so much they didn't tackle or showcase. That's why we get different interpretations like Young Justice, Beware the Batman, or the Arkham games that are allowed to adapt that kind of stuff.