I'll add a story that I know, as I've asked for advice, it's only fair.
Close friend of mine (dumpee) and her feller (dumper) broke up after nearly 10 months. His reasons was she was controlling, but also very insecure and needed reassurance a lot. I know them both and they would always bicker about rubbish but make amends. He ended it, they still spoke on and off for every couple of days (only on texts). Three weeks after the break up (I can't remember who initiated the talk) they got back together, seem a lot happier and still together 3 years after getting back together.
It goes to show that there are no rules for the healing process. Sometimes distance works, while sometimes some contact works.
I've noticed that if you want to let your partner know you're going NC, but you can't actually tell them, then there's something in that. If it's your intuition that I should keep the contact, or fear of not hearing from them again, then that's another question.