when either ‘neither did’ or ‘nor did’ is followed directly by a verb it should be the present participle.
EG:
“Video games didn’t distract him from his weary life, nor did dancing.”
“Pulling the trace high had no apparent effect, neither did pulling it low.”
one exception I forgot to mention, neither can also be used as short for ‘neither of them’
“They were both scared: neither did confronting the bully.” is such a case.
so it should be: “They were both scared: neither confronted the bully.”
I agree. That is why I added a note that it is a false negative.
In this example, “Neither did confronting the bully” is correct English:
Ignoring the bully did not solve the problem. Neither did confronting him.