I find it rather silly that the message of the show was to tell adults about bullying problems, but in the episode itself, Babs's situation got better due to standing up for herself and her friends, not due to telling adults.
But, yup, given how traumatized Babs was about the whole blank-flank/bullying thing, what she did was a big deal.
Well, you're kind of right about that. Don't forget that Babs stood up to Diamond and Silver by saying that she would, and I quote, "Tell your mothers about your bad attitude." So while she did in fact stand up for herself and her friends, she did so in a big part by saying she would tell their parents.