Ok, for the record, in TT, it's not specifically said which Robin it is.
Although, in one Batman Animated Series ep someone asked Batman where Robin was and BM said he's with the Titans now. (Don't remember any other details.) So we can assume it's Tim Drake.
If we follow the cartoon series continuity, tim becomes the Joker in Batman Beyond as well.
Bobe-Patt, in that ep where it showed Nightwing, it was just an alternate future. No need to go any further into detail.
I personally watch TT religiously and used to watch JL when it was on on Sat Nights.