What you showed was a more 'Spawn' version of the turtles, which would rub the majority of people the wrong way. There was no witty banter, there was no brothers having fun being brothers, it was grim dark and didn't resemble the turtles that most people know at all. As said, there's a vast difference between being more serious and being basically 'Spawn' with a turtle.
The turtles are engrained in pop culture as well, not to the Superman level but enough to seriously piss people off if you basically make 'Spawn' and instead of Spawn feature human-like turtles and call it Teenage Mutant Ninja Turtles. In the future, now that the 90s film is finally here - I'd be fine with a more serious version of Turtles, but would have a stroke if anyone ever made as abysmal a translation as you showed in that clip on the silver screen because it's TMNT in turtle costume only. It's fine as an alternative universe fan take, but blasphemy if a film that's absurdly dark is made. Note: difference between more serious and absurdly dark by leaps and bounds.
'The Dark Knight' trilogy reflect the popular Jeph Loeb comics of the time. What you showed represents only the old comics and 03' cartoon (?), not what fans from the past are familiar with and absolutely nothing representing the cartoon that is popular with kids today. The IDW comics are more serious, but they're nowhere near grim dark. So, no, it's a horrible example since 'The Dark Knight' reflected how the majority of fans saw Batman when those films came out whereas 'Spawn Turtles' represents absolutely nothing that is out today.