i dont think he does but he has few ties with the DC cast. Outside of the other Fox family members, he only has ties with Katana.
EDIT- In hindsight, Jace would've been better as The Question than Batman. The Question under O'Neil felt more street level and Ridley's run felt like a good fit. Jace's time in NY had another character called Nobody that looked like a Question analogue. So having Jace be Nobody than Batman feels like a better fit. Ridley's run on Jace felt meandering and half baked so Jace as Nobody could've solved a few of those problems. Jace as the Human Target also works as Jace's time abroad before he returned to Gotham felt more spy like.
Alas Jace is stuck as the other Batman so I'm hoping he gets another shot soon.