From what I've seen on You Tube recently the fourth and fifth seasons of The Batman are much better than the earlier ones. I think only the first season of the show was absolutely dire but that kinda sealed it's fate. I don't like some of the villain reimagings (in my mind the Penguin by far is the worse) but the show has alot of positives too and improves with each season.
Batman Beyond was ok, considering it was a superhero cartoon set in the far future it should've been absolute crap but it wasn't it was pretty good. Neither one is a patch on BTAS but that could be said about most comic book based cartoons since BTAS is a classic. But both The Batman and Batman Beyond are way better than the average cartoon fare.
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The Doctor: People assume that time is a strict progression of cause to effect... but actually, from a non-linear, non-subjective viewpoint, it's more like a big ball of wibbly-wobbly.... timey-wimey.... stuff.