Hmmm, I'm not so sure I would ask her to stop calling you sweetheart. If you do so, you will be training her to keep expressions of interest/affection to herself which may well be counter-productive. If she feels like she's not allowed to express those kinds of feelings toward you, it will certainly put a damper on the possibility of reconciliation.
I think it is possible for you to detach without inhibiting her positive expressions. If it's coming across as needy or manipulative on her part, then manage *yourself* and your own reaction to it.
If she's being nasty, condescending or exhibiting other poor behavior toward you then yes, set your boundaries and let her know it won't be tolerated. But I'd be more careful about positive behaviors.
The trouble with having an open mind is that people put things in it.
My sitch - Divorce Busted! http://www.divorcebusting.com/forums/ubbthreads.php?ubb=showflat&Number=1804137#Post1804137