I think there is two sides too that coin. If you truly know deep inside you dont want her back, and you are actually getting value out of this "friendship" (I cant really think about what kind of value you would get out of that relationship but okay), then sure why not? But are you not lying too yourself? Would you still have sex with her if she asks? And you answer yes, thats dangerous. If you guys just broke up, you cant really think clearly about what you want. You dont know if your brain is lying too yourself to "stay in contact" with her, because you are addicted too her. Thats why most people advocate no-contact, not too get her back, but to get your emotions back and get your grounding back. So you can think clearly again after a couple of months. Use that time too reflect, too learn, too invest in yourself.
So my advice would be, take a couple of months off. If you both value the friendship more then the romantic side, then that friendship would still be there after a couple of months of no-contact. In fact i have re-connected with some ex lovers purely as friends. But that was only after years of no contact and both of us moving on too better things.
I completely agree with you. I was definitely not thinking clearly and would have been lying to myself in the
first couple of month after the breakup if I told myself it was just continuing to be friends: I would have probably gotten back into the relationship if there was a chance.
Now about 6 months passed and I can honestly say even if she would propose to get back I wouldn't do it. Neither rationally nor emotionally does it make any sense and I started dating again.
Regarding the value in the friendship: it's just little things like that we had similar taste on movies and series so recommending stuff to each other or talk about ones we both saw. Or happenings with common friends / news / politics, or sending traveling tips or simply just funny videos. These chats are random and sometimes a couple of times a week and sometimes there is nothing for weeks.
So I think the big takeaway is that after the breakup, no contact for at least a few good months and especially if she was the initiator of the breakup.