Idk if they made Tim older in the show, if they didn't, they should've so his relations with Barnard wouldn't be questionable like this. My problem with Tim goes beyond that, they don't do anything meaningful with him. Why didn't they leave him with Bruce? They could've had a time skip and showed him still training or show him as Robin.

He's useless when stuff pops off, instead of him flirting with Bernard, I'd like to see some training montages, this dude wacked Connor a few times during VR training and trained maybe one other time and that was it. Also, Robin is supposed to be the sidekick of Batman so technically, he hasn't even been approved unless I forgot Bruce approving his training in S3 which circles back around to why he didnt rain Tim if he did approve.